Atkin-Lehner |
2- 3- 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426bq |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
2112 |
Product of Tamagawa factors cp |
Δ |
1.2769085682565E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-163009949,588367997093] |
[a1,a2,a3,a4,a6] |
Generators |
[-5589:1153804:1] |
Generators of the group modulo torsion |
j |
657110665054435321739640457/175158925686769497145344 |
j-invariant |
L |
10.909496141018 |
L(r)(E,1)/r! |
Ω |
0.054766837924538 |
Real period |
R |
1.5090828896521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000695 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23142l2 |
Quadratic twists by: -3 |