Atkin-Lehner |
2- 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44950m |
Isogeny class |
Conductor |
44950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
-428236542968750 = -1 · 2 · 510 · 294 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 3 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12930,1148447] |
[a1,a2,a3,a4,a6] |
Generators |
[3350:64789:8] |
Generators of the group modulo torsion |
j |
-24478666425/43851422 |
j-invariant |
L |
9.4880841151575 |
L(r)(E,1)/r! |
Ω |
0.47355966333789 |
Real period |
R |
5.0089169589998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44950f1 |
Quadratic twists by: 5 |