Atkin-Lehner |
3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23925f |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2332800 |
Modular degree for the optimal curve |
Δ |
1.6227009158669E+20 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 4 11+ 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-19428958,-32950495932] |
[a1,a2,a3,a4,a6] |
j |
83056231011633049600/16616457378477 |
j-invariant |
L |
1.1505682141411 |
L(r)(E,1)/r! |
Ω |
0.071910513383823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71775bk1 23925bb1 |
Quadratic twists by: -3 5 |