Atkin-Lehner |
2- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800dh |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-736000000000 = -1 · 214 · 59 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- -3 0 -6 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,667,-40963] |
[a1,a2,a3,a4,a6] |
Generators |
[117988:5065125:64] |
Generators of the group modulo torsion |
j |
1024/23 |
j-invariant |
L |
6.8941022564135 |
L(r)(E,1)/r! |
Ω |
0.43695506277154 |
Real period |
R |
7.8888000664018 |
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 |
36800bv1 9200n1 36800ds1 |
Quadratic twists by: -4 8 5 |