Atkin-Lehner |
2- 3- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990w |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-207230400000000 = -1 · 212 · 35 · 58 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10635,810225] |
[a1,a2,a3,a4,a6] |
Generators |
[120:-1185:1] |
Generators of the group modulo torsion |
j |
-133026678393614641/207230400000000 |
j-invariant |
L |
9.1701860070547 |
L(r)(E,1)/r! |
Ω |
0.50533147289843 |
Real period |
R |
0.15122394076732 |
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 |
127920bm1 47970f1 79950i1 |
Quadratic twists by: -4 -3 5 |