Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34848l |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-62099136 = -1 · 26 · 36 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,99,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:10:1] [3:18:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
7.7776725855169 |
L(r)(E,1)/r! |
Ω |
1.1755697966556 |
Real period |
R |
1.6540218640448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34848l1 69696fb2 3872h1 34848br1 |
Quadratic twists by: -4 8 -3 -11 |