Atkin-Lehner |
2- 3+ 13+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
34086f |
Isogeny class |
Conductor |
34086 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10754610204 = 22 · 3 · 13 · 194 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -2 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-659,-4459] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:52:1] [35:112:1] |
Generators of the group modulo torsion |
j |
31653456713137/10754610204 |
j-invariant |
L |
8.7671606556857 |
L(r)(E,1)/r! |
Ω |
0.96820819598631 |
Real period |
R |
4.5275183023805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102258h2 |
Quadratic twists by: -3 |