Atkin-Lehner |
2- 3+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
31356b |
Isogeny class |
Conductor |
31356 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-1072499727594672 = -1 · 24 · 39 · 132 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38880,-3345111] |
[a1,a2,a3,a4,a6] |
Generators |
[1906:82745:1] |
Generators of the group modulo torsion |
j |
-20639121408000/3405539449 |
j-invariant |
L |
5.4867545440717 |
L(r)(E,1)/r! |
Ω |
0.168472053612 |
Real period |
R |
2.7139785830137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125424j1 31356a1 |
Quadratic twists by: -4 -3 |