Atkin-Lehner |
2- 3+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
122976r |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-2313916416 = -1 · 212 · 33 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 6 -4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-684,-7264] |
[a1,a2,a3,a4,a6] |
j |
-320013504/20923 |
j-invariant |
L |
1.8600647661892 |
L(r)(E,1)/r! |
Ω |
0.46501639391883 |
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 |
122976g1 122976b1 |
Quadratic twists by: -4 -3 |