Atkin-Lehner |
2+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3608b |
Isogeny class |
Conductor |
3608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
352 |
Modular degree for the optimal curve |
Δ |
-461824 = -1 · 210 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -1 1 11+ -6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-36] |
[a1,a2,a3,a4,a6] |
Generators |
[18:72:1] |
Generators of the group modulo torsion |
j |
-470596/451 |
j-invariant |
L |
4.4985745139839 |
L(r)(E,1)/r! |
Ω |
1.1427064306847 |
Real period |
R |
1.9683859271223 |
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 |
7216c1 28864j1 32472s1 90200o1 |
Quadratic twists by: -4 8 -3 5 |