Atkin-Lehner |
2+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39104b |
Isogeny class |
Conductor |
39104 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4640 |
Modular degree for the optimal curve |
Δ |
-39104 = -1 · 26 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ -3 2 2 3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4,10] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] |
Generators of the group modulo torsion |
j |
-110592/611 |
j-invariant |
L |
4.632012524256 |
L(r)(E,1)/r! |
Ω |
3.1471730444832 |
Real period |
R |
1.471801028665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39104h1 611a1 |
Quadratic twists by: -4 8 |