Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870w |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-98552700 = -1 · 22 · 34 · 52 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-126,-777] |
[a1,a2,a3,a4,a6] |
Generators |
[21:69:1] |
Generators of the group modulo torsion |
j |
-18191447/8100 |
j-invariant |
L |
6.1153023493719 |
L(r)(E,1)/r! |
Ω |
0.69741853666245 |
Real period |
R |
2.1921206663925 |
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 |
126960ck1 47610y1 79350be1 15870bb1 |
Quadratic twists by: -4 -3 5 -23 |