Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240dm |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2464160821248000 = 215 · 3 · 53 · 74 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34881,-775425] |
[a1,a2,a3,a4,a6] |
Generators |
[1589:62916:1] |
Generators of the group modulo torsion |
j |
143236272090248/75200220375 |
j-invariant |
L |
7.094188723497 |
L(r)(E,1)/r! |
Ω |
0.37036699156291 |
Real period |
R |
4.7886210542952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240g4 57120p3 |
Quadratic twists by: -4 8 |