Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350by |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-108416880000000 = -1 · 210 · 36 · 57 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30942,-2146284] |
[a1,a2,a3,a4,a6] |
j |
-287626699801/9518080 |
j-invariant |
L |
0.71853349783157 |
L(r)(E,1)/r! |
Ω |
0.17963337316451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7150s1 12870br1 |
Quadratic twists by: -3 5 |