Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bd |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
983900889532108800 = 212 · 35 · 52 · 78 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13902280,19956151600] |
[a1,a2,a3,a4,a6] |
j |
72547406094380206981321/240210178108425 |
j-invariant |
L |
2.915698111816 |
L(r)(E,1)/r! |
Ω |
0.24297484265111 |
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 |
1995g1 127680ew1 95760dh1 |
Quadratic twists by: -4 8 -3 |