Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400bm |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
56126112000000 = 211 · 3 · 56 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24808,1451888] |
[a1,a2,a3,a4,a6] |
Generators |
[6026:162129:8] |
Generators of the group modulo torsion |
j |
52767497666/1753941 |
j-invariant |
L |
6.4792993520579 |
L(r)(E,1)/r! |
Ω |
0.62405592350982 |
Real period |
R |
5.1912810283647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2856f4 |
Quadratic twists by: 5 |