Atkin-Lehner |
3- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68241g |
Isogeny class |
Conductor |
68241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
974686203 = 34 · 234 · 43 |
Discriminant |
Eigenvalues |
1 3- 0 3 2 1 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-276,-941] |
[a1,a2,a3,a4,a6] |
j |
8265625/3483 |
j-invariant |
L |
4.8669926964106 |
L(r)(E,1)/r! |
Ω |
1.2167481755316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68241c1 |
Quadratic twists by: -23 |