Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800bp |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
2355200000000 = 218 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 1 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3500,30000] |
[a1,a2,a3,a4,a6] |
Generators |
[6:96:1] |
Generators of the group modulo torsion |
j |
46305/23 |
j-invariant |
L |
5.7778785971699 |
L(r)(E,1)/r! |
Ω |
0.72477104890535 |
Real period |
R |
1.993001309136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800db1 575d1 36800a1 |
Quadratic twists by: -4 8 5 |