Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840h |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-266610113280 = -1 · 28 · 36 · 5 · 75 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 7 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16068,-784348] |
[a1,a2,a3,a4,a6] |
j |
-2458338528256/1428595 |
j-invariant |
L |
1.6961097595291 |
L(r)(E,1)/r! |
Ω |
0.21201371994165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85680bd1 4760d1 |
Quadratic twists by: -4 -3 |