Atkin-Lehner |
2- 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34224bc |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-681991778304 = -1 · 212 · 35 · 23 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 2 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41509,3269197] |
[a1,a2,a3,a4,a6] |
j |
-1931083438845952/166501899 |
j-invariant |
L |
2.5977288768274 |
L(r)(E,1)/r! |
Ω |
0.86590962561523 |
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 |
2139e1 102672bs1 |
Quadratic twists by: -4 -3 |