Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440p |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
30243042099200 = 219 · 52 · 74 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -6 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15041,-663905] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:224:1] [-83:140:1] |
Generators of the group modulo torsion |
j |
1435630901041/115368050 |
j-invariant |
L |
6.6814478702999 |
L(r)(E,1)/r! |
Ω |
0.43329877707555 |
Real period |
R |
0.96374722013553 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999775 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440co2 2170p2 |
Quadratic twists by: -4 8 |