Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952bt |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
151104973824 = 210 · 311 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -4 -3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1659,18074] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:162:1] [-5:162:1] |
Generators of the group modulo torsion |
j |
13805092/4131 |
j-invariant |
L |
9.621568746871 |
L(r)(E,1)/r! |
Ω |
0.95383186252793 |
Real period |
R |
1.2609099567182 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59976bt1 39984g1 119952o1 |
Quadratic twists by: -4 -3 -7 |