Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968cq |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
4589899776 = 212 · 33 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- -4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-528,-3344] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:3:1] |
Generators of the group modulo torsion |
j |
1216512/343 |
j-invariant |
L |
4.931078646824 |
L(r)(E,1)/r! |
Ω |
1.0172468477194 |
Real period |
R |
2.4237375094185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999280352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7623d1 121968cp1 121968dc1 |
Quadratic twists by: -4 -3 -11 |