Atkin-Lehner |
2+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
110894b |
Isogeny class |
Conductor |
110894 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-8669341639523684 = -1 · 22 · 72 · 897 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ -6 -4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,51322,-183416] |
[a1,a2,a3,a4,a6] |
Generators |
[897:-28172:1] |
Generators of the group modulo torsion |
j |
30080231/17444 |
j-invariant |
L |
1.3306857942257 |
L(r)(E,1)/r! |
Ω |
0.24484498076497 |
Real period |
R |
0.33967559171737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998098713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1246d1 |
Quadratic twists by: 89 |