Atkin-Lehner |
2- 3- 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
88740i |
Isogeny class |
Conductor |
88740 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
188928 |
Modular degree for the optimal curve |
Δ |
61097490000 = 24 · 36 · 54 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25068,1527617] |
[a1,a2,a3,a4,a6] |
Generators |
[82:153:1] |
Generators of the group modulo torsion |
j |
149360328196096/5238125 |
j-invariant |
L |
3.5684145710452 |
L(r)(E,1)/r! |
Ω |
1.036589524021 |
Real period |
R |
0.57374278590872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9860d1 |
Quadratic twists by: -3 |