Atkin-Lehner |
2+ 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48314f |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-4038722637824 = -1 · 212 · 76 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 1 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-509969,140130148] |
[a1,a2,a3,a4,a6] |
Generators |
[424:204:1] |
Generators of the group modulo torsion |
j |
-124671038996895481/34328576 |
j-invariant |
L |
3.8262615192934 |
L(r)(E,1)/r! |
Ω |
0.62591074836935 |
Real period |
R |
0.76413880278978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
986b1 |
Quadratic twists by: -7 |