Atkin-Lehner |
2+ 5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040t |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8287508768000 = 28 · 53 · 72 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31900,-2178000] |
[a1,a2,a3,a4,a6] |
j |
14023919500113616/32373081125 |
j-invariant |
L |
4.2873821463481 |
L(r)(E,1)/r! |
Ω |
0.35728187879453 |
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 |
58520q2 |
Quadratic twists by: -4 |