Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240i |
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 |
[-47:1344:1] [-40:1309:1] |
Generators of the group modulo torsion |
j |
11650266200164/3186225 |
j-invariant |
L |
9.5318516852432 |
L(r)(E,1)/r! |
Ω |
0.9775042417275 |
Real period |
R |
2.4378031513796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001429 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240je2 14280bw2 |
Quadratic twists by: -4 8 |