Atkin-Lehner |
2- 3- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430ba |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
6.1671883515246E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3213833,1868999177] |
[a1,a2,a3,a4,a6] |
Generators |
[577:14080:1] |
Generators of the group modulo torsion |
j |
5035771024411098786121/845979197740000000 |
j-invariant |
L |
8.2713053528567 |
L(r)(E,1)/r! |
Ω |
0.15520091642487 |
Real period |
R |
6.6617723201728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5270c1 |
Quadratic twists by: -3 |