Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496ce |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-319998292590592 = -1 · 216 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11+ -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16660,235984] |
[a1,a2,a3,a4,a6] |
Generators |
[18:736:1] |
Generators of the group modulo torsion |
j |
66325500/41503 |
j-invariant |
L |
4.3663450590194 |
L(r)(E,1)/r! |
Ω |
0.33655760225339 |
Real period |
R |
3.2433861468175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496bc1 8624e1 4928ba1 |
Quadratic twists by: -4 8 -7 |