Atkin-Lehner |
2- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
35836d |
Isogeny class |
Conductor |
35836 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-11972234224 = -1 · 24 · 176 · 31 |
Discriminant |
Eigenvalues |
2- 0 -1 -3 -6 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4913,-132651] |
[a1,a2,a3,a4,a6] |
Generators |
[2244:4913:27] |
Generators of the group modulo torsion |
j |
-33958656/31 |
j-invariant |
L |
2.3840432500534 |
L(r)(E,1)/r! |
Ω |
0.28510779697603 |
Real period |
R |
4.1809506357596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124b1 |
Quadratic twists by: 17 |