Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712cp |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-17946650304 = -1 · 26 · 36 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 11- -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,384,-5758] |
[a1,a2,a3,a4,a6] |
j |
134217728/384659 |
j-invariant |
L |
3.7805149231039 |
L(r)(E,1)/r! |
Ω |
0.63008576209062 |
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 |
107712ec1 1683h1 11968b1 |
Quadratic twists by: -4 8 -3 |