Atkin-Lehner |
2+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850b |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
50901200000000 = 210 · 58 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -1 5 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12275,390125] |
[a1,a2,a3,a4,a6] |
j |
5452947409/1356800 |
j-invariant |
L |
2.3740082545986 |
L(r)(E,1)/r! |
Ω |
0.59350179677389 |
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 |
25970u1 129850m1 |
Quadratic twists by: 5 -7 |