Atkin-Lehner |
2- 7+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648j |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-1444797485824 = -1 · 28 · 78 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 11+ -5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2379,-37543] |
[a1,a2,a3,a4,a6] |
Generators |
[19045:244902:125] |
Generators of the group modulo torsion |
j |
5814126903296/5643740179 |
j-invariant |
L |
7.0995615864516 |
L(r)(E,1)/r! |
Ω |
0.46440951258386 |
Real period |
R |
3.8218217885919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27412d1 |
Quadratic twists by: -4 |