Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200di |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-30080000 = -1 · 210 · 54 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- 3 -4 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-263] |
[a1,a2,a3,a4,a6] |
Generators |
[1080:589:125] |
Generators of the group modulo torsion |
j |
-6400/47 |
j-invariant |
L |
5.0898858387657 |
L(r)(E,1)/r! |
Ω |
0.87933733921732 |
Real period |
R |
5.7883199210547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200bu1 18800i1 75200cu1 |
Quadratic twists by: -4 8 5 |