Atkin-Lehner |
3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108927z |
Isogeny class |
Conductor |
108927 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-588561514516521 = -1 · 310 · 79 · 13 · 19 |
Discriminant |
Eigenvalues |
1 3- 1 7- -5 13- -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8829,1212322] |
[a1,a2,a3,a4,a6] |
Generators |
[758:20348:1] |
Generators of the group modulo torsion |
j |
-887503681/6862401 |
j-invariant |
L |
6.4835421934294 |
L(r)(E,1)/r! |
Ω |
0.44279215897391 |
Real period |
R |
3.6606012806025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36309m1 15561i1 |
Quadratic twists by: -3 -7 |