Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562bh |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
49056649488 = 24 · 39 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2525,-47019] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:42:1] |
Generators of the group modulo torsion |
j |
2441288319625/67293072 |
j-invariant |
L |
8.6432970102173 |
L(r)(E,1)/r! |
Ω |
0.67465040853589 |
Real period |
R |
0.80071998223631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854d1 |
Quadratic twists by: -3 |