Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fy |
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 |
[1208:-37485:1] [-507:11760:1] |
Generators of the group modulo torsion |
j |
40854477373889762/406081190025 |
j-invariant |
L |
9.9246032437548 |
L(r)(E,1)/r! |
Ω |
0.35620057789756 |
Real period |
R |
1.7414000467075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999959155 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240cy3 28560bu3 |
Quadratic twists by: -4 8 |