Atkin-Lehner |
2+ 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
105336z |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-57955725628416 = -1 · 210 · 37 · 73 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101379,12429646] |
[a1,a2,a3,a4,a6] |
Generators |
[183:-76:1] [-121:4788:1] |
Generators of the group modulo torsion |
j |
-154361942913028/77637021 |
j-invariant |
L |
9.4403662812237 |
L(r)(E,1)/r! |
Ω |
0.61756352052436 |
Real period |
R |
0.21231208447785 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112ba1 |
Quadratic twists by: -3 |