Atkin-Lehner |
2- 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
58032bj |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-10327200624 = -1 · 24 · 36 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 2 13- -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-633,-7841] |
[a1,a2,a3,a4,a6] |
Generators |
[30:13:1] [134:1521:1] |
Generators of the group modulo torsion |
j |
-2404846336/885391 |
j-invariant |
L |
8.9645912205196 |
L(r)(E,1)/r! |
Ω |
0.46730716965137 |
Real period |
R |
2.3979386051394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14508k1 6448k1 |
Quadratic twists by: -4 -3 |