Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720t |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-307773440000 = -1 · 217 · 54 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1652,6672] |
[a1,a2,a3,a4,a6] |
Generators |
[12:168:1] [21:225:1] |
Generators of the group modulo torsion |
j |
3804029838/2348125 |
j-invariant |
L |
8.1007803052644 |
L(r)(E,1)/r! |
Ω |
0.59839119327356 |
Real period |
R |
6.7687997386829 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999308 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720a2 17680c2 |
Quadratic twists by: -4 8 |