Atkin-Lehner |
2+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98600f |
Isogeny class |
Conductor |
98600 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-1.6012399833275E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 -4 3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2499208,1637237088] |
[a1,a2,a3,a4,a6] |
Generators |
[-332:49300:1] |
Generators of the group modulo torsion |
j |
-107897432486570500/10007749895797 |
j-invariant |
L |
3.0115677953263 |
L(r)(E,1)/r! |
Ω |
0.17775963888622 |
Real period |
R |
0.20168806521543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999785375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3944a1 |
Quadratic twists by: 5 |