Atkin-Lehner |
2+ 3- 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950y |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-27451926000000000 = -1 · 210 · 33 · 59 · 232 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-188376,32447398] |
[a1,a2,a3,a4,a6] |
Generators |
[233:-1221:1] |
Generators of the group modulo torsion |
j |
-47312629371984241/1756923264000 |
j-invariant |
L |
6.4151086977708 |
L(r)(E,1)/r! |
Ω |
0.37222638978538 |
Real period |
R |
1.4362022901718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999627524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390n1 |
Quadratic twists by: 5 |