Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712dd |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1884160 |
Modular degree for the optimal curve |
Δ |
5950354152112128 = 214 · 33 · 115 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11- 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-648828,-201126160] |
[a1,a2,a3,a4,a6] |
j |
68285541719739888/13451140571 |
j-invariant |
L |
6.7287176596138 |
L(r)(E,1)/r! |
Ω |
0.16821793306422 |
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 |
107712h1 26928c1 107712cw1 |
Quadratic twists by: -4 8 -3 |