Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680be |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-187240736480000 = -1 · 28 · 54 · 79 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 6 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10061,767761] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-686:1] [41:650:1] |
Generators of the group modulo torsion |
j |
-10903552/18125 |
j-invariant |
L |
9.6344020767322 |
L(r)(E,1)/r! |
Ω |
0.50856400681948 |
Real period |
R |
2.3680406854314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28420d1 113680bw1 |
Quadratic twists by: -4 -7 |