Atkin-Lehner |
2- 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
30256g |
Isogeny class |
Conductor |
30256 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-55840957696 = -1 · 28 · 312 · 613 |
Discriminant |
Eigenvalues |
2- 2 -3 1 -3 -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,908,3996] |
[a1,a2,a3,a4,a6] |
Generators |
[45:366:1] |
Generators of the group modulo torsion |
j |
323044913072/218128741 |
j-invariant |
L |
6.0221033453801 |
L(r)(E,1)/r! |
Ω |
0.70278094059866 |
Real period |
R |
1.4281603739021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7564a1 121024r1 |
Quadratic twists by: -4 8 |