Atkin-Lehner |
2+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44954h |
Isogeny class |
Conductor |
44954 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
411840 |
Modular degree for the optimal curve |
Δ |
-11147789084877536 = -1 · 25 · 7 · 1310 · 192 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-271924,54700976] |
[a1,a2,a3,a4,a6] |
j |
-16130034817/80864 |
j-invariant |
L |
0.81212222539606 |
L(r)(E,1)/r! |
Ω |
0.40606111279422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44954s1 |
Quadratic twists by: 13 |