Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23716a |
Isogeny class |
Conductor |
23716 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
56700 |
Modular degree for the optimal curve |
Δ |
163403145989776 = 24 · 78 · 116 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 11- -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13834,113749] |
[a1,a2,a3,a4,a6] |
Generators |
[-20119905:1826839741:4330747] |
Generators of the group modulo torsion |
j |
1792 |
j-invariant |
L |
7.4546553456026 |
L(r)(E,1)/r! |
Ω |
0.49697278943833 |
Real period |
R |
15.000127781699 |
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 |
94864bi1 23716h1 196b1 |
Quadratic twists by: -4 -7 -11 |