Atkin-Lehner |
2- 7- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
105742l |
Isogeny class |
Conductor |
105742 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-600695558372 = -1 · 22 · 77 · 133 · 83 |
Discriminant |
Eigenvalues |
2- -1 0 7- 4 13- -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2353,-58605] |
[a1,a2,a3,a4,a6] |
j |
-12246522625/5105828 |
j-invariant |
L |
4.0305628519628 |
L(r)(E,1)/r! |
Ω |
0.3358801750538 |
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 |
15106f1 |
Quadratic twists by: -7 |