Atkin-Lehner |
2- 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488bg |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-5.0804642641547E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,864501,-147937606] |
[a1,a2,a3,a4,a6] |
j |
23929451044753463/17014372026624 |
j-invariant |
L |
0.90203514758186 |
L(r)(E,1)/r! |
Ω |
0.11275439359356 |
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 |
7686w1 20496k1 |
Quadratic twists by: -4 -3 |