Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968dy |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2101248 |
Modular degree for the optimal curve |
Δ |
9002244904374484224 = 28 · 325 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- -4 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-522192,-16025812] |
[a1,a2,a3,a4,a6] |
j |
697367157735424/398655683181 |
j-invariant |
L |
0.76958028433422 |
L(r)(E,1)/r! |
Ω |
0.19239508234073 |
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 |
30492bg1 40656bh1 121968fp1 |
Quadratic twists by: -4 -3 -11 |