Atkin-Lehner |
2- 3- 5- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950bx |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-18758091456000 = -1 · 29 · 37 · 53 · 133 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 1 13- -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18648,1000512] |
[a1,a2,a3,a4,a6] |
Generators |
[252:3384:1] |
Generators of the group modulo torsion |
j |
-5737357819826261/150064731648 |
j-invariant |
L |
13.92724960107 |
L(r)(E,1)/r! |
Ω |
0.68626212321595 |
Real period |
R |
0.053688779030295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118950l1 |
Quadratic twists by: 5 |