Atkin-Lehner |
3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675b |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-2520831796875 = -1 · 33 · 57 · 72 · 293 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -3 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-61200,5827906] |
[a1,a2,a3,a4,a6] |
Generators |
[-2110:15221:8] [-10:2537:1] |
Generators of the group modulo torsion |
j |
-60088890949632/5975305 |
j-invariant |
L |
7.5111566587242 |
L(r)(E,1)/r! |
Ω |
0.77892555442595 |
Real period |
R |
0.20089523254299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45675a2 9135a1 |
Quadratic twists by: -3 5 |