Atkin-Lehner |
3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
97461l |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
533871513200623689 = 38 · 78 · 132 · 174 |
Discriminant |
Eigenvalues |
1 3- -2 7- 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-727218,236274975] |
[a1,a2,a3,a4,a6] |
j |
495909170514577/6224736609 |
j-invariant |
L |
2.3490165922363 |
L(r)(E,1)/r! |
Ω |
0.29362706475545 |
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 |
32487m2 13923f2 |
Quadratic twists by: -3 -7 |