Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680ca |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.8278388315E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6349596056,193653942033300] |
[a1,a2,a3,a4,a6] |
Generators |
[17688693914:268221474624:357911] |
Generators of the group modulo torsion |
j |
6911973379426527276383915030809/44624971472167968750000000 |
j-invariant |
L |
7.8473057071689 |
L(r)(E,1)/r! |
Ω |
0.03216709426961 |
Real period |
R |
15.247152939989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210d3 |
Quadratic twists by: -4 |