Atkin-Lehner |
2+ 5+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44950a |
Isogeny class |
Conductor |
44950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
57536000000 = 212 · 56 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5425,151125] |
[a1,a2,a3,a4,a6] |
j |
1130389181713/3682304 |
j-invariant |
L |
2.2371758262662 |
L(r)(E,1)/r! |
Ω |
1.1185879132411 |
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 |
1798b1 |
Quadratic twists by: 5 |