Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050d |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6289920 |
Modular degree for the optimal curve |
Δ |
-1.0035017363402E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -3 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16034667,-29031483259] |
[a1,a2,a3,a4,a6] |
Generators |
[8443203851:858256450262:704969] |
Generators of the group modulo torsion |
j |
-1817378667/400000 |
j-invariant |
L |
3.9613440607073 |
L(r)(E,1)/r! |
Ω |
0.037284970351532 |
Real period |
R |
13.280632998225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050de1 15210bd1 76050df1 |
Quadratic twists by: -3 5 13 |