Atkin-Lehner |
2- 3- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110cf |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
80000 |
Modular degree for the optimal curve |
Δ |
-27748306080 = -1 · 25 · 311 · 5 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2138,-38343] |
[a1,a2,a3,a4,a6] |
Generators |
[71:369:1] |
Generators of the group modulo torsion |
j |
-1481933914201/38063520 |
j-invariant |
L |
10.895532168121 |
L(r)(E,1)/r! |
Ω |
0.35052971182401 |
Real period |
R |
1.5541524428681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370f1 |
Quadratic twists by: -3 |