Atkin-Lehner |
2+ 3- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110o |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-6243368868000 = -1 · 25 · 313 · 53 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2790,105300] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1164:1] |
Generators of the group modulo torsion |
j |
3293982073439/8564292000 |
j-invariant |
L |
5.2571739742332 |
L(r)(E,1)/r! |
Ω |
0.52773001855193 |
Real period |
R |
4.9809313342373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370bk1 |
Quadratic twists by: -3 |