Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966cf |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1224960 |
Modular degree for the optimal curve |
Δ |
30633089344079796 = 22 · 37 · 7 · 298 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 2 -2 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-681368,216487815] |
[a1,a2,a3,a4,a6] |
j |
95930521/84 |
j-invariant |
L |
4.4266978810603 |
L(r)(E,1)/r! |
Ω |
0.36889152255909 |
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 |
35322i1 105966m1 |
Quadratic twists by: -3 29 |