Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112710bt |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
9214560 |
Modular degree for the optimal curve |
Δ |
-1.4961733253852E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23393111,-43562913811] |
[a1,a2,a3,a4,a6] |
Generators |
[25259:3922090:1] |
Generators of the group modulo torsion |
j |
-16950869189311243954609/1791373816627200 |
j-invariant |
L |
9.4024083216347 |
L(r)(E,1)/r! |
Ω |
0.034323756310129 |
Real period |
R |
5.0728326721236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710cy1 |
Quadratic twists by: 17 |