Atkin-Lehner |
3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
2385g |
Isogeny class |
Conductor |
2385 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
4829625 = 36 · 53 · 53 |
Discriminant |
Eigenvalues |
1 3- 5- 2 0 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1239,-16480] |
[a1,a2,a3,a4,a6] |
j |
288673724529/6625 |
j-invariant |
L |
2.4139993645569 |
L(r)(E,1)/r! |
Ω |
0.80466645485229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38160cg1 265a1 11925o1 116865u1 |
Quadratic twists by: -4 -3 5 -7 |