Atkin-Lehner |
2+ 3+ 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110g |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55104 |
Modular degree for the optimal curve |
Δ |
-2046971520 = -1 · 27 · 33 · 5 · 113 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- 5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-939,11525] |
[a1,a2,a3,a4,a6] |
Generators |
[19:7:1] |
Generators of the group modulo torsion |
j |
-3393257824683/75813760 |
j-invariant |
L |
4.9517474962429 |
L(r)(E,1)/r! |
Ω |
1.4701832980683 |
Real period |
R |
0.56135262110635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110bs1 |
Quadratic twists by: -3 |