Atkin-Lehner |
2+ 3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650d |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2543616 |
Modular degree for the optimal curve |
Δ |
-1.6662380544E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-323650,-625215500] |
[a1,a2,a3,a4,a6] |
j |
-239956554219920929/10663923548160000 |
j-invariant |
L |
0.9522267307492 |
L(r)(E,1)/r! |
Ω |
0.079352227640487 |
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 |
11730m1 |
Quadratic twists by: 5 |