Atkin-Lehner |
2+ 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010o |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
11999068569600 = 214 · 3 · 52 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10707,-397011] |
[a1,a2,a3,a4,a6] |
j |
1153990560169/101990400 |
j-invariant |
L |
1.8879093299537 |
L(r)(E,1)/r! |
Ω |
0.47197740337431 |
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 |
2490f1 |
Quadratic twists by: -7 |