Atkin-Lehner |
3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58305m |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-4995747315 = -1 · 32 · 5 · 136 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 3 4 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-225,3566] |
[a1,a2,a3,a4,a6] |
j |
-262144/1035 |
j-invariant |
L |
4.7679387186958 |
L(r)(E,1)/r! |
Ω |
1.1919846801058 |
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 |
345b1 |
Quadratic twists by: 13 |