Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912cm |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-4726666224 = -1 · 24 · 34 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -2 4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114,3303] |
[a1,a2,a3,a4,a6] |
j |
-87808/2511 |
j-invariant |
L |
4.5876998467102 |
L(r)(E,1)/r! |
Ω |
1.1469249592438 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18228h1 1488l1 |
Quadratic twists by: -4 -7 |