Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240je |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
208812441600 = 216 · 32 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19041,-1017441] |
[a1,a2,a3,a4,a6] |
Generators |
[497:10608:1] |
Generators of the group modulo torsion |
j |
11650266200164/3186225 |
j-invariant |
L |
9.2091315641977 |
L(r)(E,1)/r! |
Ω |
0.40642680527763 |
Real period |
R |
5.6646925221565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027752 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240i2 28560y2 |
Quadratic twists by: -4 8 |