Atkin-Lehner |
2- 3- 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494bl |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-15784290643968 = -1 · 212 · 36 · 7 · 112 · 792 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6079,55505] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:160:1] [9:328:1] |
Generators of the group modulo torsion |
j |
34084708870967/21651976192 |
j-invariant |
L |
14.962883861883 |
L(r)(E,1)/r! |
Ω |
0.43397548093868 |
Real period |
R |
1.4366099503127 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166g1 |
Quadratic twists by: -3 |