Atkin-Lehner |
2- 3+ 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610bd |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-1016756373270674880 = -1 · 26 · 322 · 5 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-461845,-130376773] |
[a1,a2,a3,a4,a6] |
j |
-10894630606799373942481/1016756373270674880 |
j-invariant |
L |
0.5465085825689 |
L(r)(E,1)/r! |
Ω |
0.091084763772876 |
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 |
124830w1 |
Quadratic twists by: -3 |