Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576cx |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1566437922975744 = -1 · 212 · 36 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3659,1903523] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:1029:1] |
Generators of the group modulo torsion |
j |
32768/9477 |
j-invariant |
L |
6.5085664695205 |
L(r)(E,1)/r! |
Ω |
0.36862088209521 |
Real period |
R |
1.4713776822513 |
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 |
1911a1 122304ez1 91728fe1 30576bo1 |
Quadratic twists by: -4 8 -3 -7 |