Atkin-Lehner |
2- 3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810dh |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-2363007786921492480 = -1 · 220 · 310 · 5 · 74 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,90877,-73226109] |
[a1,a2,a3,a4,a6] |
Generators |
[543:11390:1] |
Generators of the group modulo torsion |
j |
113857753216578839/3241437293445120 |
j-invariant |
L |
10.663822140049 |
L(r)(E,1)/r! |
Ω |
0.12484956664643 |
Real period |
R |
2.1353342344084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270l1 |
Quadratic twists by: -3 |