Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bt |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4155821981696 = 216 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45537,3723775] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:1715:1] |
Generators of the group modulo torsion |
j |
1354435492/539 |
j-invariant |
L |
4.512320739766 |
L(r)(E,1)/r! |
Ω |
0.76654313932024 |
Real period |
R |
2.9432921047127 |
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 |
34496cs2 4312d2 4928p2 |
Quadratic twists by: -4 8 -7 |