Atkin-Lehner |
3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116865b |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
312299858745 = 33 · 5 · 77 · 532 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 2 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27278,1740652] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1297:1] [790:13:8] |
Generators of the group modulo torsion |
j |
706633718643/98315 |
j-invariant |
L |
7.1938092082199 |
L(r)(E,1)/r! |
Ω |
0.93345087999168 |
Real period |
R |
1.9266705313371 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999951309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116865j2 16695g2 |
Quadratic twists by: -3 -7 |