Atkin-Lehner |
3+ 7+ 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114471c |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-4178305971 = -1 · 33 · 7 · 234 · 79 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ 0 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,198,2919] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:34:1] [25956:523011:64] |
Generators of the group modulo torsion |
j |
31794757632/154752073 |
j-invariant |
L |
10.102907252728 |
L(r)(E,1)/r! |
Ω |
0.99586107175301 |
Real period |
R |
1.2681120312352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114471a1 |
Quadratic twists by: -3 |