Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216o |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11618167052828672 = 221 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 2 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147980,-21287952] |
[a1,a2,a3,a4,a6] |
Generators |
[3717:225351:1] |
Generators of the group modulo torsion |
j |
11619959625/376712 |
j-invariant |
L |
5.2287806063917 |
L(r)(E,1)/r! |
Ω |
0.24389981103225 |
Real period |
R |
5.3595578562561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216bj2 3038d2 13888a2 |
Quadratic twists by: -4 8 -7 |