Atkin-Lehner |
5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
74725f |
Isogeny class |
Conductor |
74725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
7665424041748046875 = 516 · 77 · 61 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 5 2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-518813,54046656] |
[a1,a2,a3,a4,a6] |
j |
8401330071289/4169921875 |
j-invariant |
L |
1.6619935127671 |
L(r)(E,1)/r! |
Ω |
0.20774918979361 |
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 |
14945f1 10675c1 |
Quadratic twists by: 5 -7 |