Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4160h |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
865280 = 210 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1125,14155] |
[a1,a2,a3,a4,a6] |
Generators |
[3:104:1] |
Generators of the group modulo torsion |
j |
153910165504/845 |
j-invariant |
L |
2.8263406752162 |
L(r)(E,1)/r! |
Ω |
2.4952655122118 |
Real period |
R |
1.1326813364687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4160p1 260a1 37440br1 20800m1 |
Quadratic twists by: -4 8 -3 5 |