Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
26800bd |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-6860800 = -1 · 212 · 52 · 67 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-213,-1277] |
[a1,a2,a3,a4,a6] |
Generators |
[2106:34181:8] |
Generators of the group modulo torsion |
j |
-10485760/67 |
j-invariant |
L |
4.3656805029217 |
L(r)(E,1)/r! |
Ω |
0.62436571906091 |
Real period |
R |
6.9921848199609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1675b1 107200bz1 26800bk1 |
Quadratic twists by: -4 8 5 |