Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800dr |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
235520000 = 214 · 54 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -3 -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-433,-3537] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:8:1] [-11:4:1] |
Generators of the group modulo torsion |
j |
878800/23 |
j-invariant |
L |
6.4339536734779 |
L(r)(E,1)/r! |
Ω |
1.0480635116435 |
Real period |
R |
1.534724184651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800bi1 9200bi1 36800ce1 |
Quadratic twists by: -4 8 5 |