Atkin-Lehner |
2+ 3- 5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
42330h |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-44234622030938400 = -1 · 25 · 39 · 52 · 173 · 833 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12833694,17694953776] |
[a1,a2,a3,a4,a6] |
Generators |
[-3922:89733:1] |
Generators of the group modulo torsion |
j |
-233764577796741962654708569/44234622030938400 |
j-invariant |
L |
5.5330840949399 |
L(r)(E,1)/r! |
Ω |
0.28421596820156 |
Real period |
R |
3.24464768227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126990ci1 |
Quadratic twists by: -3 |