Atkin-Lehner |
2- 3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394bp |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
20966400 |
Modular degree for the optimal curve |
Δ |
5.1479753650253E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-297879194,1978705048871] |
[a1,a2,a3,a4,a6] |
Generators |
[9953:-3125:1] |
Generators of the group modulo torsion |
j |
1650015832519221743605177/290589788611584 |
j-invariant |
L |
6.2184046658221 |
L(r)(E,1)/r! |
Ω |
0.12990244826619 |
Real period |
R |
4.7869803507613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854h1 |
Quadratic twists by: -11 |