Atkin-Lehner |
2- 11+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76912g |
Isogeny class |
Conductor |
76912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1056000 |
Modular degree for the optimal curve |
Δ |
11217300749287424 = 223 · 115 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 0 -3 -3 11+ -3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1995299,-1084814046] |
[a1,a2,a3,a4,a6] |
Generators |
[-817:82:1] |
Generators of the group modulo torsion |
j |
214480453297951329273/2738598815744 |
j-invariant |
L |
2.007967572154 |
L(r)(E,1)/r! |
Ω |
0.12702754102356 |
Real period |
R |
3.9518350814515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9614d1 |
Quadratic twists by: -4 |