Atkin-Lehner |
2- 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672bi |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
60986432783056896 = 216 · 310 · 232 · 313 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29651816379,-1965282860704790] |
[a1,a2,a3,a4,a6] |
Generators |
[2090114308347439558331674199982700969836736476265446872346280913485510284983089889775591970045792212906905807508422740644602517674:-342380914680538913888445391740941312027644705127677707834860417290754621703746158510845410333094220250975984119776847022842918382010:9894355304417899532659247370961278796681480512141755604625035195123522895947868715225006811197662859697493512101073834200833] |
Generators of the group modulo torsion |
j |
965584180645000788866956763257/20424232944 |
j-invariant |
L |
9.2908787910353 |
L(r)(E,1)/r! |
Ω |
0.011505002812283 |
Real period |
R |
201.88779921714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12834t2 34224bk2 |
Quadratic twists by: -4 -3 |