Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496o |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-82824896 = -1 · 26 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 11+ -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,33,-421] |
[a1,a2,a3,a4,a6] |
j |
512/11 |
j-invariant |
L |
1.8658944700091 |
L(r)(E,1)/r! |
Ω |
0.93294723500362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496bo1 17248bf1 704b1 |
Quadratic twists by: -4 8 -7 |