Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096bb |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
207051665965056 = 224 · 310 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53859,4760930] |
[a1,a2,a3,a4,a6] |
j |
5786435182177/69341184 |
j-invariant |
L |
4.5213840624151 |
L(r)(E,1)/r! |
Ω |
0.56517300780173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3762h1 120384dk1 10032l1 |
Quadratic twists by: -4 8 -3 |