Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11700g |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-5447442011731200 = -1 · 28 · 318 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14655,-3616090] |
[a1,a2,a3,a4,a6] |
Generators |
[559:12762:1] |
Generators of the group modulo torsion |
j |
-74605986640/1167575877 |
j-invariant |
L |
4.9408335083338 |
L(r)(E,1)/r! |
Ω |
0.18392068281605 |
Real period |
R |
4.4773227174921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800da1 3900b1 11700v1 |
Quadratic twists by: -4 -3 5 |