Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31280b |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-4003840 = -1 · 211 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -6 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37,42] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
2735262/1955 |
j-invariant |
L |
3.6553299270601 |
L(r)(E,1)/r! |
Ω |
1.5706076247717 |
Real period |
R |
1.1636674460916 |
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 |
15640g1 125120cl1 |
Quadratic twists by: -4 8 |