Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640cq |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
45662632673280 = 224 · 3 · 5 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-907576,332489300] |
[a1,a2,a3,a4,a6] |
j |
20184279492242626489/11148103680 |
j-invariant |
L |
3.1486487110841 |
L(r)(E,1)/r! |
Ω |
0.52477478517755 |
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 |
4830b1 115920fg1 |
Quadratic twists by: -4 -3 |