Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800bw |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1316480000000 = -1 · 213 · 57 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 11- 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1992,43988] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:200:1] |
Generators of the group modulo torsion |
j |
13651919/20570 |
j-invariant |
L |
9.2150682168202 |
L(r)(E,1)/r! |
Ω |
0.58307763957454 |
Real period |
R |
0.49388085262294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350b1 14960q1 |
Quadratic twists by: -4 5 |