Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958w |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-777492762457764432 = -1 · 24 · 3 · 17 · 2311 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 5 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,200744,24537782] |
[a1,a2,a3,a4,a6] |
j |
6043486088375/5252055888 |
j-invariant |
L |
1.4749043665997 |
L(r)(E,1)/r! |
Ω |
0.18436304580236 |
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 |
2346e1 |
Quadratic twists by: -23 |