Atkin-Lehner |
2- 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752bk |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
235782144 = 214 · 33 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 3 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-339,-2286] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:6:1] |
Generators of the group modulo torsion |
j |
38958219/2132 |
j-invariant |
L |
5.0546745222548 |
L(r)(E,1)/r! |
Ω |
1.1164204556986 |
Real period |
R |
1.1318931181149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9594e1 76752bm1 |
Quadratic twists by: -4 -3 |