Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113568cf |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-17220542976 = -1 · 29 · 37 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 1 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-680,9528] |
[a1,a2,a3,a4,a6] |
j |
-30959144/15309 |
j-invariant |
L |
2.2966070978616 |
L(r)(E,1)/r! |
Ω |
1.1483040660296 |
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 |
113568bi1 113568j1 |
Quadratic twists by: -4 13 |