Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240by |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2159136000000000000 = 217 · 34 · 512 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-329665,-17491775] |
[a1,a2,a3,a4,a6] |
Generators |
[705:10000:1] |
Generators of the group modulo torsion |
j |
30229685362358498/16472900390625 |
j-invariant |
L |
6.9533200798598 |
L(r)(E,1)/r! |
Ω |
0.21264322067668 |
Real period |
R |
0.68123890401112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240la3 14280bv3 |
Quadratic twists by: -4 8 |