Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360bb |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3406261248000 = 213 · 39 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-575883,168209082] |
[a1,a2,a3,a4,a6] |
Generators |
[463:910:1] |
Generators of the group modulo torsion |
j |
261984288445803/42250 |
j-invariant |
L |
4.7218295179169 |
L(r)(E,1)/r! |
Ω |
0.62193229650575 |
Real period |
R |
3.7960960899167 |
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 |
1170i4 37440dk4 9360bh2 46800cb4 |
Quadratic twists by: -4 8 -3 5 |