Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350bl |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
50009985351562500 = 22 · 34 · 514 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1056463,-418256719] |
[a1,a2,a3,a4,a6] |
Generators |
[575060:53853063:64] |
Generators of the group modulo torsion |
j |
8345773355774021929/3200639062500 |
j-invariant |
L |
7.8885935840159 |
L(r)(E,1)/r! |
Ω |
0.14891758179671 |
Real period |
R |
4.4144068869274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050m1 6270i1 |
Quadratic twists by: -3 5 |