Atkin-Lehner |
2- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648ba |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-261527146496 = -1 · 212 · 72 · 114 · 89 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11- -6 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1528,-9296] |
[a1,a2,a3,a4,a6] |
Generators |
[18:154:1] |
Generators of the group modulo torsion |
j |
96260823287/63849401 |
j-invariant |
L |
3.6578233195108 |
L(r)(E,1)/r! |
Ω |
0.55904011055679 |
Real period |
R |
0.40894017261545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999194875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6853b1 |
Quadratic twists by: -4 |