Atkin-Lehner |
2- 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488bf |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-512387795533824 = -1 · 214 · 39 · 7 · 613 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 6 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26571,-1991302] |
[a1,a2,a3,a4,a6] |
j |
-694800198793/171597636 |
j-invariant |
L |
4.4295902603375 |
L(r)(E,1)/r! |
Ω |
0.18456626080393 |
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 |
7686v1 20496m1 |
Quadratic twists by: -4 -3 |