Atkin-Lehner |
2+ 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1656a |
Isogeny class |
Conductor |
1656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
7243344 = 24 · 39 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1866,31025] |
[a1,a2,a3,a4,a6] |
j |
61604313088/621 |
j-invariant |
L |
1.0643355221662 |
L(r)(E,1)/r! |
Ω |
2.1286710443324 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3312g1 13248h1 552d1 41400cb1 |
Quadratic twists by: -4 8 -3 5 |