Atkin-Lehner |
5+ 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76475c |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-51232275390625 = -1 · 511 · 74 · 19 · 23 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ 5 -5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2338,346917] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:639:1] [-13:619:1] |
Generators of the group modulo torsion |
j |
-90458382169/3278865625 |
j-invariant |
L |
4.7037474080507 |
L(r)(E,1)/r! |
Ω |
0.52681864203901 |
Real period |
R |
1.1160736904528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15295a1 |
Quadratic twists by: 5 |