Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
99180o |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-374814708480 = -1 · 28 · 312 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1032,26548] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:9:1] |
Generators of the group modulo torsion |
j |
651321344/2008395 |
j-invariant |
L |
3.6721319604721 |
L(r)(E,1)/r! |
Ω |
0.67234314064965 |
Real period |
R |
2.7308466094516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999684376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33060t1 |
Quadratic twists by: -3 |