Atkin-Lehner |
2+ 3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9570f |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25056 |
Modular degree for the optimal curve |
Δ |
-58137750 = -1 · 2 · 36 · 53 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-71419,7340276] |
[a1,a2,a3,a4,a6] |
j |
-40286196399588268969/58137750 |
j-invariant |
L |
0.84482879777798 |
L(r)(E,1)/r! |
Ω |
1.267243196667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76560be1 28710bs1 47850bs1 105270bx1 |
Quadratic twists by: -4 -3 5 -11 |