Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800f |
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 |
[606:4175:27] |
Generators of the group modulo torsion |
j |
340736/575 |
j-invariant |
L |
7.5533895739847 |
L(r)(E,1)/r! |
Ω |
0.8879815764745 |
Real period |
R |
4.2531229104845 |
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 |
36800cs1 4600b1 7360l1 |
Quadratic twists by: -4 8 5 |