Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ep |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-183861121893750000 = -1 · 24 · 36 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 5 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14292,20624463] |
[a1,a2,a3,a4,a6] |
j |
1280/729 |
j-invariant |
L |
2.988719354039 |
L(r)(E,1)/r! |
Ω |
0.24905994637798 |
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 |
29400dn1 58800bi1 58800ch1 |
Quadratic twists by: -4 5 -7 |