Atkin-Lehner |
2+ 7- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
105154g |
Isogeny class |
Conductor |
105154 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
83233857100688 = 24 · 78 · 293 · 37 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-920735,-340439371] |
[a1,a2,a3,a4,a6] |
j |
733736571525483625/707476112 |
j-invariant |
L |
3.6989380793916 |
L(r)(E,1)/r! |
Ω |
0.15412243266846 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15022a1 |
Quadratic twists by: -7 |