Atkin-Lehner |
2+ 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61488a |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-717196032 = -1 · 28 · 38 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,1276] |
[a1,a2,a3,a4,a6] |
j |
128000/3843 |
j-invariant |
L |
2.4181184417376 |
L(r)(E,1)/r! |
Ω |
1.2090592209873 |
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 |
30744b1 20496d1 |
Quadratic twists by: -4 -3 |