Atkin-Lehner |
2- 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
46920o |
Isogeny class |
Conductor |
46920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
243200 |
Modular degree for the optimal curve |
Δ |
252378281250000 = 24 · 35 · 510 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19571,-719004] |
[a1,a2,a3,a4,a6] |
j |
51816129663576064/15773642578125 |
j-invariant |
L |
0.82637634537249 |
L(r)(E,1)/r! |
Ω |
0.4131881725836 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93840t1 |
Quadratic twists by: -4 |