Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654bz |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1271808 |
Modular degree for the optimal curve |
Δ |
5294178450112716864 = 26 · 38 · 7 · 239 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-435731,1114611] |
[a1,a2,a3,a4,a6] |
Generators |
[-465:10382:1] |
Generators of the group modulo torsion |
j |
6967871/4032 |
j-invariant |
L |
7.1504436185209 |
L(r)(E,1)/r! |
Ω |
0.2043573562209 |
Real period |
R |
5.8316501301451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22218i1 66654bn1 |
Quadratic twists by: -3 -23 |