Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785j |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
708835697083265895 = 316 · 5 · 117 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-247770,24812761] |
[a1,a2,a3,a4,a6] |
Generators |
[79604:2551793:64] |
Generators of the group modulo torsion |
j |
1302528459961/548860455 |
j-invariant |
L |
6.3775948524098 |
L(r)(E,1)/r! |
Ω |
0.25830196649159 |
Real period |
R |
6.1726154654931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595e2 6435g2 |
Quadratic twists by: -3 -11 |