Atkin-Lehner |
2- 5- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104650bh |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
328 |
Product of Tamagawa factors cp |
deg |
5856768 |
Modular degree for the optimal curve |
Δ |
-6.0207181408816E+21 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 1 13- 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6089538,-6886645169] |
[a1,a2,a3,a4,a6] |
Generators |
[11641:-1230525:1] |
Generators of the group modulo torsion |
j |
-39957355167649639637425/9633149025410613248 |
j-invariant |
L |
7.4310559908457 |
L(r)(E,1)/r! |
Ω |
0.047448920904655 |
Real period |
R |
0.47747468288675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104650g1 |
Quadratic twists by: 5 |