Atkin-Lehner |
2- 3- 7+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
109746p |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-349692097757184 = -1 · 215 · 36 · 75 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2441,901513] |
[a1,a2,a3,a4,a6] |
j |
-2205630275913/479687376896 |
j-invariant |
L |
6.5941023996959 |
L(r)(E,1)/r! |
Ω |
0.43960678515778 |
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 |
12194b1 |
Quadratic twists by: -3 |