Atkin-Lehner |
2- 3- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650cy |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
1649700000000 = 28 · 33 · 58 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-214938,-38372508] |
[a1,a2,a3,a4,a6] |
Generators |
[632:8534:1] |
Generators of the group modulo torsion |
j |
70281888516417241/105580800 |
j-invariant |
L |
11.049947345907 |
L(r)(E,1)/r! |
Ω |
0.22172837922732 |
Real period |
R |
4.1529593480042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330f1 |
Quadratic twists by: 5 |