Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15960j |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-63840000 = -1 · 28 · 3 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,100,0] |
[a1,a2,a3,a4,a6] |
j |
427694384/249375 |
j-invariant |
L |
2.3191570307638 |
L(r)(E,1)/r! |
Ω |
1.1595785153819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31920j1 127680c1 47880bd1 79800bi1 |
Quadratic twists by: -4 8 -3 5 |