Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200ja |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
328320000 = 210 · 33 · 54 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233,-1137] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:9:1] |
Generators of the group modulo torsion |
j |
2195200/513 |
j-invariant |
L |
9.4404457866127 |
L(r)(E,1)/r! |
Ω |
1.242141483594 |
Real period |
R |
2.5333790895274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200bo1 22800cj1 91200ft1 |
Quadratic twists by: -4 8 5 |