Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35700z |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
3.6410787460195E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92701133,-343557342012] |
[a1,a2,a3,a4,a6] |
Generators |
[-5537:2025:1] |
Generators of the group modulo torsion |
j |
352402381449896711028736/14564314984078125 |
j-invariant |
L |
6.6152927997624 |
L(r)(E,1)/r! |
Ω |
0.048655212168598 |
Real period |
R |
1.7431112181141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100bc1 7140f1 |
Quadratic twists by: -3 5 |