Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968gb |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
14192640 |
Modular degree for the optimal curve |
Δ |
1.9134709035791E+23 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26002416,-46493491088] |
[a1,a2,a3,a4,a6] |
Generators |
[-23006:536697:8] |
Generators of the group modulo torsion |
j |
25104437248/2470629 |
j-invariant |
L |
10.181835130056 |
L(r)(E,1)/r! |
Ω |
0.067280185379087 |
Real period |
R |
5.4048151898883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7623k1 40656dm1 121968ep1 |
Quadratic twists by: -4 -3 -11 |