Atkin-Lehner |
2- 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65100b |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-222676382076750000 = -1 · 24 · 39 · 56 · 72 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,107967,-18174438] |
[a1,a2,a3,a4,a6] |
j |
556740459216896/890705528307 |
j-invariant |
L |
0.99602984379508 |
L(r)(E,1)/r! |
Ω |
0.16600497308674 |
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 |
2604e1 |
Quadratic twists by: 5 |