Atkin-Lehner |
3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
7575a |
Isogeny class |
Conductor |
7575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
7548122953125 = 314 · 56 · 101 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 -2 3 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4933,-16107] |
[a1,a2,a3,a4,a6] |
j |
849816322048/483079869 |
j-invariant |
L |
1.2309022492124 |
L(r)(E,1)/r! |
Ω |
0.6154511246062 |
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 |
121200dg1 22725g1 303a1 |
Quadratic twists by: -4 -3 5 |