Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504by |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-11448822528 = -1 · 28 · 37 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 5 11- 13- 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,411,-4167] |
[a1,a2,a3,a4,a6] |
j |
247267328/369603 |
j-invariant |
L |
2.6992858626601 |
L(r)(E,1)/r! |
Ω |
0.6748214696279 |
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 |
18876m1 75504bo1 |
Quadratic twists by: -4 -11 |