Atkin-Lehner |
3- 5+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945n |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-7155559673610075 = -1 · 36 · 52 · 78 · 133 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -3 13- 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3891018,-2954223752] |
[a1,a2,a3,a4,a6] |
Generators |
[2896:100327:1] |
Generators of the group modulo torsion |
j |
-8936879525486904180736/9815582542675 |
j-invariant |
L |
5.3704713482103 |
L(r)(E,1)/r! |
Ω |
0.053746937157136 |
Real period |
R |
1.0408483526698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997991035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14105f1 |
Quadratic twists by: -3 |