Atkin-Lehner |
5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5075d |
Isogeny class |
Conductor |
5075 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-9.5242813443918E+22 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 6 4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,11205467,-3471742157] |
[a1,a2,a3,a4,a6] |
j |
9958490884690134695936/6095540060410757075 |
j-invariant |
L |
1.1133266026969 |
L(r)(E,1)/r! |
Ω |
0.061851477927605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81200bv1 45675e1 1015b1 35525i1 |
Quadratic twists by: -4 -3 5 -7 |