Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8970i |
Isogeny class |
Conductor |
8970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3300960000 = 28 · 3 · 54 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -6 13+ -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-53236,4705589] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:3133:1] [-11:2305:1] |
Generators of the group modulo torsion |
j |
16685547865377876289/3300960000 |
j-invariant |
L |
6.2342224373752 |
L(r)(E,1)/r! |
Ω |
1.1176899644729 |
Real period |
R |
0.69722179624237 |
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 |
71760bq2 26910t2 44850bc2 116610q2 |
Quadratic twists by: -4 -3 5 13 |