Atkin-Lehner |
2- 3+ 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050br |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
54528 |
Modular degree for the optimal curve |
Δ |
-717912000 = -1 · 26 · 32 · 53 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-118,1331] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-33:1] |
Generators of the group modulo torsion |
j |
-1454419637/5743296 |
j-invariant |
L |
8.9649185817986 |
L(r)(E,1)/r! |
Ω |
1.4011333960509 |
Real period |
R |
0.53319445013187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999707455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115050bg1 |
Quadratic twists by: 5 |