Atkin-Lehner |
3+ 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67425a |
Isogeny class |
Conductor |
67425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-30720515625 = -1 · 37 · 56 · 29 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 5 4 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,362,8156] |
[a1,a2,a3,a4,a6] |
j |
335702375/1966113 |
j-invariant |
L |
1.6975149252687 |
L(r)(E,1)/r! |
Ω |
0.84875746617423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2697a1 |
Quadratic twists by: 5 |