Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675ba |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-524527523889075 = -1 · 316 · 52 · 75 · 29 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -2 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16635,-1377009] |
[a1,a2,a3,a4,a6] |
j |
-27933450833920/28780659747 |
j-invariant |
L |
4.037404649907 |
L(r)(E,1)/r! |
Ω |
0.20187023248414 |
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 |
15225v1 45675bh2 |
Quadratic twists by: -3 5 |