Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200ck |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
36480000 = 210 · 3 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 -2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233,-1263] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:5:1] |
Generators of the group modulo torsion |
j |
2195200/57 |
j-invariant |
L |
3.4588417861735 |
L(r)(E,1)/r! |
Ω |
1.2234701250157 |
Real period |
R |
0.94235832616385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200iy1 5700p1 91200ee1 |
Quadratic twists by: -4 8 5 |