Atkin-Lehner |
2+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10478h |
Isogeny class |
Conductor |
10478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-81527391179624 = -1 · 23 · 139 · 312 |
Discriminant |
Eigenvalues |
2+ -1 -1 1 -2 13- -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-232378,43021724] |
[a1,a2,a3,a4,a6] |
Generators |
[239:979:1] |
Generators of the group modulo torsion |
j |
-130864391533/7688 |
j-invariant |
L |
2.2861988004548 |
L(r)(E,1)/r! |
Ω |
0.5762153686763 |
Real period |
R |
0.9919029085022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83824be1 94302cm1 10478n1 |
Quadratic twists by: -4 -3 13 |