Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240cy |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
53225873738956800 = 217 · 34 · 52 · 74 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-364481,-84086625] |
[a1,a2,a3,a4,a6] |
Generators |
[-341:816:1] |
Generators of the group modulo torsion |
j |
40854477373889762/406081190025 |
j-invariant |
L |
7.4791866029034 |
L(r)(E,1)/r! |
Ω |
0.19442019862296 |
Real period |
R |
0.60108101566943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240fy3 14280bh3 |
Quadratic twists by: -4 8 |