Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4080u |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-102000 = -1 · 24 · 3 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -3 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7226,238851] |
[a1,a2,a3,a4,a6] |
Generators |
[49:5:1] |
Generators of the group modulo torsion |
j |
-2608300961238784/6375 |
j-invariant |
L |
2.3957932388546 |
L(r)(E,1)/r! |
Ω |
2.2034759937657 |
Real period |
R |
1.0872790289674 |
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 |
1020g2 16320dd2 12240cd2 20400dg2 |
Quadratic twists by: -4 8 -3 5 |