Atkin-Lehner |
2- 3- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
92628f |
Isogeny class |
Conductor |
92628 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
350053809408 = 28 · 312 · 31 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -4 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2424,36052] |
[a1,a2,a3,a4,a6] |
j |
8440225792/1875717 |
j-invariant |
L |
1.807728328001 |
L(r)(E,1)/r! |
Ω |
0.90386420624134 |
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 |
30876e1 |
Quadratic twists by: -3 |