Atkin-Lehner |
2- 17- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
118864j |
Isogeny class |
Conductor |
118864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
127872 |
Modular degree for the optimal curve |
Δ |
-3206627766512 = -1 · 24 · 176 · 192 · 23 |
Discriminant |
Eigenvalues |
2- -1 0 -2 0 5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3098,-107729] |
[a1,a2,a3,a4,a6] |
Generators |
[77:323:1] [213:2975:1] |
Generators of the group modulo torsion |
j |
-205583448928000/200414235407 |
j-invariant |
L |
9.9297230488217 |
L(r)(E,1)/r! |
Ω |
0.30776403746319 |
Real period |
R |
2.6886732043035 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29716c1 |
Quadratic twists by: -4 |