Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200bf |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
96256000 = 214 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 3 -5 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-273,1583] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:40:1] [7:8:1] |
Generators of the group modulo torsion |
j |
1102736/47 |
j-invariant |
L |
11.257727777552 |
L(r)(E,1)/r! |
Ω |
1.8793736429561 |
Real period |
R |
0.74876860037218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200dy1 4700i1 75200bx1 |
Quadratic twists by: -4 8 5 |