Atkin-Lehner |
2- 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160bt |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
21900306677760 = 228 · 32 · 5 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28560,-1834560] |
[a1,a2,a3,a4,a6] |
j |
629004249876241/5346754560 |
j-invariant |
L |
1.4697430981839 |
L(r)(E,1)/r! |
Ω |
0.36743577402496 |
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 |
7770be1 |
Quadratic twists by: -4 |