Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200cg |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3741696 |
Modular degree for the optimal curve |
Δ |
1.4833105802031E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 5 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56867283,-165030641063] |
[a1,a2,a3,a4,a6] |
j |
20338136461105732942336/1483310580203125 |
j-invariant |
L |
0.98959693088218 |
L(r)(E,1)/r! |
Ω |
0.0549776072974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200cc1 29600t1 11840bc1 |
Quadratic twists by: -4 8 5 |