Atkin-Lehner |
2+ 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752d |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
420885863424 = 210 · 33 · 135 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 -3 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1899,6346] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1014:1] [-10:156:1] |
Generators of the group modulo torsion |
j |
27392702796/15223013 |
j-invariant |
L |
8.213604146933 |
L(r)(E,1)/r! |
Ω |
0.81781902341651 |
Real period |
R |
0.50216514362287 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38376n1 76752h1 |
Quadratic twists by: -4 -3 |