Atkin-Lehner |
2+ 3- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
100650r |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-3396937500000000 = -1 · 28 · 34 · 512 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-149651,-22470802] |
[a1,a2,a3,a4,a6] |
j |
-23721294434112289/217404000000 |
j-invariant |
L |
3.8816154527642 |
L(r)(E,1)/r! |
Ω |
0.12130049067738 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20130k1 |
Quadratic twists by: 5 |