Atkin-Lehner |
2- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
24080p |
Isogeny class |
Conductor |
24080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-13484800 = -1 · 28 · 52 · 72 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -5 -5 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,175] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-14:1] [-5:10:1] |
Generators of the group modulo torsion |
j |
-65536/52675 |
j-invariant |
L |
5.6755654820831 |
L(r)(E,1)/r! |
Ω |
1.8066229033099 |
Real period |
R |
0.39269162588416 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6020c1 96320bh1 120400bp1 |
Quadratic twists by: -4 8 5 |