Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700bi |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
11404800 |
Modular degree for the optimal curve |
Δ |
-1.6593466250911E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123080625,525576178125] |
[a1,a2,a3,a4,a6] |
Generators |
[3156:410571:1] |
Generators of the group modulo torsion |
j |
-1810277845777324800/14567652127 |
j-invariant |
L |
8.2179377427159 |
L(r)(E,1)/r! |
Ω |
0.13445289737771 |
Real period |
R |
1.697814280286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999656148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300m1 119700bu1 |
Quadratic twists by: -3 5 |