Atkin-Lehner |
11+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
7579a |
Isogeny class |
Conductor |
7579 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
117320 |
Modular degree for the optimal curve |
Δ |
-288652617020172691 = -1 · 11 · 137 · 535 |
Discriminant |
Eigenvalues |
2 -2 -2 -1 11+ 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-156494,-35208573] |
[a1,a2,a3,a4,a6] |
j |
-423857196397779300352/288652617020172691 |
j-invariant |
L |
0.81542794792749 |
L(r)(E,1)/r! |
Ω |
0.11648970684678 |
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 |
121264o1 68211h1 83369b1 98527i1 |
Quadratic twists by: -4 -3 -11 13 |