Atkin-Lehner |
2+ 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550bc |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-512999424000000 = -1 · 220 · 32 · 56 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7774,-1056652] |
[a1,a2,a3,a4,a6] |
j |
3325964415983/32831963136 |
j-invariant |
L |
2.061752397182 |
L(r)(E,1)/r! |
Ω |
0.25771905324437 |
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 |
2982g1 |
Quadratic twists by: 5 |