Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7740b |
Isogeny class |
Conductor |
7740 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-32906826720000 = -1 · 28 · 314 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -1 -5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41808,-3301868] |
[a1,a2,a3,a4,a6] |
j |
-43304636317696/176326875 |
j-invariant |
L |
0.66758854115803 |
L(r)(E,1)/r! |
Ω |
0.16689713528951 |
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 |
30960be1 123840cq1 2580b1 38700d1 |
Quadratic twists by: -4 8 -3 5 |