Atkin-Lehner |
2- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
62300j |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
16033352781250000 = 24 · 59 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72700,-4450875] |
[a1,a2,a3,a4,a6] |
j |
169975738220544/64133411125 |
j-invariant |
L |
1.2003427246895 |
L(r)(E,1)/r! |
Ω |
0.3000856802887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12460a1 |
Quadratic twists by: 5 |