Atkin-Lehner |
2+ 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102960v |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-5909757426144000 = -1 · 28 · 36 · 53 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 13+ 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50268,-5700692] |
[a1,a2,a3,a4,a6] |
j |
-75271580947456/31666652875 |
j-invariant |
L |
2.8117383212581 |
L(r)(E,1)/r! |
Ω |
0.15620769543813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51480k1 11440g1 |
Quadratic twists by: -4 -3 |