Atkin-Lehner |
2+ 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350x |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.9314696867703E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23347926,-34743597752] |
[a1,a2,a3,a4,a6] |
Generators |
[-14831164590:-350702699972:4492125] |
Generators of the group modulo torsion |
j |
90084191238619649880913/18761405995329720096 |
j-invariant |
L |
6.939926671511 |
L(r)(E,1)/r! |
Ω |
0.069689423563553 |
Real period |
R |
12.447955375685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999914992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894k3 |
Quadratic twists by: 5 |