Atkin-Lehner |
3+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68241a |
Isogeny class |
Conductor |
68241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
549120 |
Modular degree for the optimal curve |
Δ |
-818271485201169 = -1 · 35 · 238 · 43 |
Discriminant |
Eigenvalues |
1 3+ -1 -1 3 3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1405828,640989541] |
[a1,a2,a3,a4,a6] |
j |
-2075648192259481/5527521 |
j-invariant |
L |
1.7427187562867 |
L(r)(E,1)/r! |
Ω |
0.43567968873413 |
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 |
2967a1 |
Quadratic twists by: -23 |