Atkin-Lehner |
3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975cf |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
353925 = 32 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 11- 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] [-1:1:1] |
Generators of the group modulo torsion |
j |
225280/117 |
j-invariant |
L |
7.2454409855756 |
L(r)(E,1)/r! |
Ω |
2.4421543915712 |
Real period |
R |
1.4834117387219 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975ba1 117975bm1 |
Quadratic twists by: 5 -11 |