Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280db |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
199231522560 = 28 · 33 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4263,-104958] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:335:8] |
Generators of the group modulo torsion |
j |
10536048/245 |
j-invariant |
L |
5.7120533304056 |
L(r)(E,1)/r! |
Ω |
0.59167848193645 |
Real period |
R |
4.8269909290186 |
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 |
8820c2 35280dn2 5040ba2 |
Quadratic twists by: -4 -3 -7 |