Atkin-Lehner |
2- 3+ 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990q |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-159900000000 = -1 · 28 · 3 · 58 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3300,74085] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:393:1] |
Generators of the group modulo torsion |
j |
-3974419976155201/159900000000 |
j-invariant |
L |
6.5210953403636 |
L(r)(E,1)/r! |
Ω |
1.015162155187 |
Real period |
R |
1.6059245577281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127920ci1 47970i1 79950t1 |
Quadratic twists by: -4 -3 5 |