Atkin-Lehner |
2- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
79900b |
Isogeny class |
Conductor |
79900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
566784 |
Modular degree for the optimal curve |
Δ |
6791500000000 = 28 · 59 · 172 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 3 -5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1076508,430265512] |
[a1,a2,a3,a4,a6] |
Generators |
[597:100:1] [697:4250:1] |
Generators of the group modulo torsion |
j |
34491803958987856/1697875 |
j-invariant |
L |
9.22440296048 |
L(r)(E,1)/r! |
Ω |
0.55988320447273 |
Real period |
R |
4.1188960871425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15980a1 |
Quadratic twists by: 5 |