Atkin-Lehner |
2+ 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122200q |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-79430000 = -1 · 24 · 54 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5- 3 6 13- 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9308,-342563] |
[a1,a2,a3,a4,a6] |
j |
-8919479123200/7943 |
j-invariant |
L |
3.8884047575622 |
L(r)(E,1)/r! |
Ω |
0.24302533700512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122200s1 |
Quadratic twists by: 5 |