Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gw |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-52684800000000 = -1 · 217 · 3 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3208,-355088] |
[a1,a2,a3,a4,a6] |
j |
-6655/96 |
j-invariant |
L |
2.1615816490412 |
L(r)(E,1)/r! |
Ω |
0.27019770583604 |
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 |
7350bi1 58800ib1 58800jn1 |
Quadratic twists by: -4 5 -7 |