Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42050bc |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
909440 |
Modular degree for the optimal curve |
Δ |
-3626786493967250000 = -1 · 24 · 56 · 299 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 5 -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1282963,-566893583] |
[a1,a2,a3,a4,a6] |
Generators |
[2961074208035580:-42160795842007403:2119348251125] |
Generators of the group modulo torsion |
j |
-1030301/16 |
j-invariant |
L |
11.892240893615 |
L(r)(E,1)/r! |
Ω |
0.070862306379544 |
Real period |
R |
20.977726913656 |
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 |
1682c1 42050l1 |
Quadratic twists by: 5 29 |