Atkin-Lehner |
2+ 3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110bd |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-497414079360 = -1 · 27 · 38 · 5 · 113 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 1 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-549,-34155] |
[a1,a2,a3,a4,a6] |
Generators |
[1959:85704:1] |
Generators of the group modulo torsion |
j |
-25128011089/682323840 |
j-invariant |
L |
5.244231688714 |
L(r)(E,1)/r! |
Ω |
0.40388111532228 |
Real period |
R |
6.4922962325115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370bf1 |
Quadratic twists by: -3 |