Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ev |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
Δ |
33841710379008000 = 215 · 35 · 53 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1288225,562277375] |
[a1,a2,a3,a4,a6] |
Generators |
[635:840:1] [-1045:27720:1] |
Generators of the group modulo torsion |
j |
7215215110932838472/1032767040375 |
j-invariant |
L |
14.302662904253 |
L(r)(E,1)/r! |
Ω |
0.35543801932171 |
Real period |
R |
0.22355300797521 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240bw2 57120f2 |
Quadratic twists by: -4 8 |