Atkin-Lehner |
2- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640db |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-142129000000 = -1 · 26 · 56 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 2 5- 0 2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,580,-17518] |
[a1,a2,a3,a4,a6] |
Generators |
[11454:86275:216] |
Generators of the group modulo torsion |
j |
336572570816/2220765625 |
j-invariant |
L |
12.438797778765 |
L(r)(E,1)/r! |
Ω |
0.51551498110742 |
Real period |
R |
4.0214795757024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999978947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640df1 60320n2 |
Quadratic twists by: -4 8 |