Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496be |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-790199865376768 = -1 · 216 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21364,620144] |
[a1,a2,a3,a4,a6] |
Generators |
[70:1568:1] |
Generators of the group modulo torsion |
j |
139863132/102487 |
j-invariant |
L |
4.1484072921059 |
L(r)(E,1)/r! |
Ω |
0.32086628266085 |
Real period |
R |
1.6160966095066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496ch3 4312h4 4928m4 |
Quadratic twists by: -4 8 -7 |