Atkin-Lehner |
2- 3- 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426bt |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
85919253783552 = 210 · 37 · 74 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28445,1798949] |
[a1,a2,a3,a4,a6] |
Generators |
[63:472:1] |
Generators of the group modulo torsion |
j |
3491400617727625/117859058688 |
j-invariant |
L |
9.2104683591736 |
L(r)(E,1)/r! |
Ω |
0.6021662635185 |
Real period |
R |
0.19119446148473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142m1 |
Quadratic twists by: -3 |