Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800cs |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-9200000000 = -1 · 210 · 58 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,367,-3863] |
[a1,a2,a3,a4,a6] |
Generators |
[72:625:1] |
Generators of the group modulo torsion |
j |
340736/575 |
j-invariant |
L |
3.8329895970253 |
L(r)(E,1)/r! |
Ω |
0.68264104885091 |
Real period |
R |
2.8074707809301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800f1 9200f1 7360v1 |
Quadratic twists by: -4 8 5 |