Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113568ch |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-5102383104 = -1 · 212 · 34 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 6 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3501,-78651] |
[a1,a2,a3,a4,a6] |
j |
-527514112/567 |
j-invariant |
L |
2.4824077024447 |
L(r)(E,1)/r! |
Ω |
0.31030102152469 |
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 |
113568cs1 113568i1 |
Quadratic twists by: -4 13 |