Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448n |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-385938432 = -1 · 210 · 36 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 11- -7 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,117,810] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:10:1] |
Generators of the group modulo torsion |
j |
237276/517 |
j-invariant |
L |
9.2800406040799 |
L(r)(E,1)/r! |
Ω |
1.1731329118875 |
Real period |
R |
1.9776191830678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37224n1 8272a1 |
Quadratic twists by: -4 -3 |