Atkin-Lehner |
2+ 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560p |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-396887040 = -1 · 210 · 35 · 5 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,80,-892] |
[a1,a2,a3,a4,a6] |
Generators |
[8:18:1] |
Generators of the group modulo torsion |
j |
54607676/387585 |
j-invariant |
L |
6.5173347879577 |
L(r)(E,1)/r! |
Ω |
0.8398144309205 |
Real period |
R |
0.77604462921793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38280p1 |
Quadratic twists by: -4 |