Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096j |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5282446067712 = -1 · 211 · 310 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5259,-183782] |
[a1,a2,a3,a4,a6] |
j |
-10773969554/3538161 |
j-invariant |
L |
4.4114021306558 |
L(r)(E,1)/r! |
Ω |
0.27571263316602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15048d2 120384cs2 10032e2 |
Quadratic twists by: -4 8 -3 |