Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200cr |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-2423520000 = -1 · 28 · 34 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,292,1488] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:30:1] |
Generators of the group modulo torsion |
j |
17150000/15147 |
j-invariant |
L |
9.3623280190336 |
L(r)(E,1)/r! |
Ω |
0.94460049884529 |
Real period |
R |
0.20648782347986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999657513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112200i1 |
Quadratic twists by: 5 |