Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280dk |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
4164314970618593280 = 220 · 39 · 5 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-805707,-260474886] |
[a1,a2,a3,a4,a6] |
j |
17779581/1280 |
j-invariant |
L |
2.5611975896079 |
L(r)(E,1)/r! |
Ω |
0.16007484934986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4410x1 35280cx1 35280cz1 |
Quadratic twists by: -4 -3 -7 |