Atkin-Lehner |
2+ 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040m |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-45060400 = -1 · 24 · 52 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122,611] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
-12551141376/2816275 |
j-invariant |
L |
5.5375967174247 |
L(r)(E,1)/r! |
Ω |
1.9315390227057 |
Real period |
R |
1.433467474476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999978267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58520t1 |
Quadratic twists by: -4 |