Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9300j |
Isogeny class |
Conductor |
9300 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
13728892500000000 = 28 · 311 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -3 -4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-273333,-54804537] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:243:1] |
Generators of the group modulo torsion |
j |
903361331200/5491557 |
j-invariant |
L |
5.0666801244261 |
L(r)(E,1)/r! |
Ω |
0.20887450014879 |
Real period |
R |
2.2051867686607 |
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 |
37200bu1 27900b1 9300g1 |
Quadratic twists by: -4 -3 5 |