Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
99180m |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
12853728000 = 28 · 36 · 53 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5943,-176258] |
[a1,a2,a3,a4,a6] |
Generators |
[-347233194:68403205:7762392] |
Generators of the group modulo torsion |
j |
124386546256/68875 |
j-invariant |
L |
7.2083645722872 |
L(r)(E,1)/r! |
Ω |
0.54376663447893 |
Real period |
R |
13.25635690528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11020e1 |
Quadratic twists by: -3 |