Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880cf |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
51701760000 = 214 · 33 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1416,16884] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:150:1] [-18:192:1] |
Generators of the group modulo torsion |
j |
76711450249/12622500 |
j-invariant |
L |
9.3600593189462 |
L(r)(E,1)/r! |
Ω |
1.0738966419119 |
Real period |
R |
1.4526629710972 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610e1 |
Quadratic twists by: -4 |