Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
107800cm |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
14515200 |
Modular degree for the optimal curve |
Δ |
1.6048523266853E+21 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- -7 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-122834833,524036360037] |
[a1,a2,a3,a4,a6] |
Generators |
[6267:18150:1] |
Generators of the group modulo torsion |
j |
17422083655275520/136410197 |
j-invariant |
L |
8.9003426238635 |
L(r)(E,1)/r! |
Ω |
0.13471787577914 |
Real period |
R |
0.78650631216535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107800x1 15400t1 |
Quadratic twists by: 5 -7 |