Atkin-Lehner |
2+ 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
76342j |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
649823104 = 27 · 73 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- -2 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-459,-3779] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:-4:1] [-106:165:8] |
Generators of the group modulo torsion |
j |
31285651951/1894528 |
j-invariant |
L |
5.0486073203571 |
L(r)(E,1)/r! |
Ω |
1.0350597599344 |
Real period |
R |
1.2193999602191 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76342a1 |
Quadratic twists by: -7 |