Atkin-Lehner |
2- 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
122976bg |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
340480 |
Modular degree for the optimal curve |
Δ |
3061311418368 = 212 · 36 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -3 0 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3708,-21600] |
[a1,a2,a3,a4,a6] |
j |
1888232256/1025227 |
j-invariant |
L |
2.6098758731072 |
L(r)(E,1)/r! |
Ω |
0.65246933484536 |
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 |
122976o1 13664d1 |
Quadratic twists by: -4 -3 |