Atkin-Lehner |
5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39325n |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17712 |
Modular degree for the optimal curve |
Δ |
6645925 = 52 · 112 · 133 |
Discriminant |
Eigenvalues |
-2 -3 5+ 0 11- 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-55,96] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] |
Generators of the group modulo torsion |
j |
6082560/2197 |
j-invariant |
L |
1.7363463618333 |
L(r)(E,1)/r! |
Ω |
2.1722094914322 |
Real period |
R |
0.26644857362782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39325u1 39325f1 |
Quadratic twists by: 5 -11 |