Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400bq |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
49158900000000 = 28 · 35 · 58 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-227508,-41842512] |
[a1,a2,a3,a4,a6] |
Generators |
[-276:36:1] |
Generators of the group modulo torsion |
j |
325578447230416/12289725 |
j-invariant |
L |
7.9512743668693 |
L(r)(E,1)/r! |
Ω |
0.21860053025706 |
Real period |
R |
1.8186768253151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bi2 |
Quadratic twists by: 5 |