Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840bp |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-12492144000000 = -1 · 210 · 38 · 56 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8643,352942] |
[a1,a2,a3,a4,a6] |
j |
-95651055364/16734375 |
j-invariant |
L |
2.7379395905604 |
L(r)(E,1)/r! |
Ω |
0.68448489761715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680bl1 14280v1 |
Quadratic twists by: -4 -3 |