Atkin-Lehner |
2- 3- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61272l |
Isogeny class |
Conductor |
61272 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-158817024 = -1 · 28 · 36 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 2 0 2 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,164] |
[a1,a2,a3,a4,a6] |
j |
1362944/851 |
j-invariant |
L |
2.2553575546489 |
L(r)(E,1)/r! |
Ω |
1.1276787764175 |
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 |
122544g1 6808a1 |
Quadratic twists by: -4 -3 |