Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968ge |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-308472738545664 = -1 · 216 · 38 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -5 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122331,16490122] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1386:1] |
Generators of the group modulo torsion |
j |
-4631003113/7056 |
j-invariant |
L |
9.3765210116135 |
L(r)(E,1)/r! |
Ω |
0.54419689397261 |
Real period |
R |
0.71791731872112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15246bl1 40656dn1 121968et1 |
Quadratic twists by: -4 -3 -11 |