Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280be |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
4.4678252620181E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12344178,16690170427] |
[a1,a2,a3,a4,a6] |
Generators |
[-2281:181602:1] |
Generators of the group modulo torsion |
j |
151591373397612544/32558203125 |
j-invariant |
L |
4.7172535594647 |
L(r)(E,1)/r! |
Ω |
0.19681917848783 |
Real period |
R |
5.9918621697687 |
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 |
17640cb1 11760bg1 5040q1 |
Quadratic twists by: -4 -3 -7 |