Atkin-Lehner |
3- 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67425j |
Isogeny class |
Conductor |
67425 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
111976279453125 = 313 · 57 · 29 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 2 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-32758,2213644] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-1013:1] |
Generators of the group modulo torsion |
j |
248810715099136/7166481885 |
j-invariant |
L |
4.5536247544259 |
L(r)(E,1)/r! |
Ω |
0.59029805423892 |
Real period |
R |
0.29669657957657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13485f1 |
Quadratic twists by: 5 |