Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400da |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
69300000000 = 28 · 32 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 1 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1246833,535455963] |
[a1,a2,a3,a4,a6] |
j |
2143625552081920/693 |
j-invariant |
L |
3.9238410562741 |
L(r)(E,1)/r! |
Ω |
0.65397352378213 |
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 |
46200ce1 92400a1 |
Quadratic twists by: -4 5 |