Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112659h |
Isogeny class |
Conductor |
112659 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
208656 |
Modular degree for the optimal curve |
Δ |
-4947659836011 = -1 · 33 · 17 · 476 |
Discriminant |
Eigenvalues |
0 3- -3 -4 3 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1473,105275] |
[a1,a2,a3,a4,a6] |
Generators |
[219:3313:1] |
Generators of the group modulo torsion |
j |
32768/459 |
j-invariant |
L |
3.2585093182762 |
L(r)(E,1)/r! |
Ω |
0.5696545205948 |
Real period |
R |
0.95335833932293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999749084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51a1 |
Quadratic twists by: -47 |