Atkin-Lehner |
2+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110656i |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-10109735850253312 = -1 · 210 · 72 · 139 · 19 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 0 13- -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-730737,-240723017] |
[a1,a2,a3,a4,a6] |
Generators |
[1082:15379:1] [10962:1144169:1] |
Generators of the group modulo torsion |
j |
-42141272308261088512/9872788916263 |
j-invariant |
L |
9.3153077180507 |
L(r)(E,1)/r! |
Ω |
0.081643785150481 |
Real period |
R |
6.3387200212454 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656bs1 13832b1 |
Quadratic twists by: -4 8 |