Atkin-Lehner |
2- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
51040j |
Isogeny class |
Conductor |
51040 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
58560 |
Modular degree for the optimal curve |
Δ |
-298910656000 = -1 · 29 · 53 · 115 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11+ 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,144,-26344] |
[a1,a2,a3,a4,a6] |
j |
640503928/583809875 |
j-invariant |
L |
4.0748428400716 |
L(r)(E,1)/r! |
Ω |
0.45276031564679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51040l1 102080by1 |
Quadratic twists by: -4 8 |