Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26928bf |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-67563859968 = -1 · 212 · 36 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- -4 5 11+ 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1008,2160] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1125:1] |
Generators of the group modulo torsion |
j |
37933056/22627 |
j-invariant |
L |
4.9826204149414 |
L(r)(E,1)/r! |
Ω |
0.67177522484714 |
Real period |
R |
3.7085473166082 |
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 |
1683j1 107712et1 2992i1 |
Quadratic twists by: -4 8 -3 |