Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680j |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
985730630182502400 = 222 · 312 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-651841,197067841] |
[a1,a2,a3,a4,a6] |
j |
116844823575501841/3760263939600 |
j-invariant |
L |
1.1060297510187 |
L(r)(E,1)/r! |
Ω |
0.27650688887408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680fi2 3990bb2 |
Quadratic twists by: -4 8 |