Atkin-Lehner |
2- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48412i |
Isogeny class |
Conductor |
48412 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-619447419136 = -1 · 28 · 73 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 2 -3 7- -1 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1468,30584] |
[a1,a2,a3,a4,a6] |
j |
3981731024/7054567 |
j-invariant |
L |
1.254086512145 |
L(r)(E,1)/r! |
Ω |
0.62704325615371 |
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 |
48412o1 |
Quadratic twists by: -7 |