Atkin-Lehner |
5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
74725j |
Isogeny class |
Conductor |
74725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-1255903075 = -1 · 52 · 77 · 61 |
Discriminant |
Eigenvalues |
2 -2 5+ 7- -2 4 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-408,-3741] |
[a1,a2,a3,a4,a6] |
j |
-2560000/427 |
j-invariant |
L |
2.1048781228967 |
L(r)(E,1)/r! |
Ω |
0.52621952682128 |
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 |
74725q1 10675l1 |
Quadratic twists by: 5 -7 |