Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550jm |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
220320 |
Modular degree for the optimal curve |
Δ |
698624908800 = 29 · 3 · 52 · 72 · 135 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3753,-79143] |
[a1,a2,a3,a4,a6] |
j |
4772330903305/570306048 |
j-invariant |
L |
5.5325755958795 |
L(r)(E,1)/r! |
Ω |
0.61473064188037 |
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 |
95550cv1 95550gd1 |
Quadratic twists by: 5 -7 |