Atkin-Lehner |
2- 3- 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59598w |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
267520 |
Modular degree for the optimal curve |
Δ |
-437845073605632 = -1 · 210 · 317 · 7 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15899,1272395] |
[a1,a2,a3,a4,a6] |
Generators |
[435:8530:1] |
Generators of the group modulo torsion |
j |
-609649192625257/600610526208 |
j-invariant |
L |
11.536664770874 |
L(r)(E,1)/r! |
Ω |
0.48196761895275 |
Real period |
R |
0.59841493066239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19866h1 |
Quadratic twists by: -3 |