Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968gl |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-2851230659751936 = -1 · 212 · 36 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1556544,-747468304] |
[a1,a2,a3,a4,a6] |
Generators |
[10453542:2298913001:216] |
Generators of the group modulo torsion |
j |
-78843215872/539 |
j-invariant |
L |
5.6309828698611 |
L(r)(E,1)/r! |
Ω |
0.067581687287215 |
Real period |
R |
10.415141812234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7623f1 13552z1 11088bj1 |
Quadratic twists by: -4 -3 -11 |