Atkin-Lehner |
2+ 5- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
50150s |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
684000 |
Modular degree for the optimal curve |
Δ |
-455638766879687500 = -1 · 22 · 58 · 175 · 593 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -4 0 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,68008,31733916] |
[a1,a2,a3,a4,a6] |
Generators |
[194:-7322:1] [44:5878:1] |
Generators of the group modulo torsion |
j |
89051265354375/1166435243212 |
j-invariant |
L |
5.9602011243369 |
L(r)(E,1)/r! |
Ω |
0.21939109172327 |
Real period |
R |
0.30185572448231 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50150be1 |
Quadratic twists by: 5 |