Atkin-Lehner |
2- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192x |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
2.1873359643065E+19 |
Discriminant |
Eigenvalues |
2- -2 0 -2 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-883848,226985716] |
[a1,a2,a3,a4,a6] |
Generators |
[-450:23104:1] [254:4352:1] |
Generators of the group modulo torsion |
j |
396255588625/113509952 |
j-invariant |
L |
7.4223277035957 |
L(r)(E,1)/r! |
Ω |
0.19978878314182 |
Real period |
R |
3.0959060810327 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12274h1 5168j1 |
Quadratic twists by: -4 -19 |