Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106134i |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7354368 |
Modular degree for the optimal curve |
Δ |
-2.2290021158708E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -6 -3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2749744,-1897492904] |
[a1,a2,a3,a4,a6] |
j |
-394709719231/38263752 |
j-invariant |
L |
0.69959007135352 |
L(r)(E,1)/r! |
Ω |
0.058299188812183 |
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 |
106134bb1 106134dg1 |
Quadratic twists by: -7 -19 |