Atkin-Lehner |
2+ 7- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
105742b |
Isogeny class |
Conductor |
105742 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8019648 |
Modular degree for the optimal curve |
Δ |
-4.0962842937292E+21 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- -6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3767536,1250381056] |
[a1,a2,a3,a4,a6] |
j |
50269842484372470023/34817842002305024 |
j-invariant |
L |
0.17547040774532 |
L(r)(E,1)/r! |
Ω |
0.087735581971737 |
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 |
2158b1 |
Quadratic twists by: -7 |