Atkin-Lehner |
5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19825c |
Isogeny class |
Conductor |
19825 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
59412720072265625 = 59 · 133 · 614 |
Discriminant |
Eigenvalues |
1 2 5+ -4 -2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-112025,-8458000] |
[a1,a2,a3,a4,a6] |
j |
9950722184749969/3802414084625 |
j-invariant |
L |
1.6170231768696 |
L(r)(E,1)/r! |
Ω |
0.2695038628116 |
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 |
3965a1 |
Quadratic twists by: 5 |