Atkin-Lehner |
2- 3+ 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990r |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-2558400 = -1 · 26 · 3 · 52 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,20,77] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] |
Generators of the group modulo torsion |
j |
881974079/2558400 |
j-invariant |
L |
5.6336644183998 |
L(r)(E,1)/r! |
Ω |
1.8067522684909 |
Real period |
R |
1.039372232827 |
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 |
127920cj1 47970l1 79950v1 |
Quadratic twists by: -4 -3 5 |