Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478cd |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
158976 |
Modular degree for the optimal curve |
Δ |
-6113942208 = -1 · 26 · 37 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 -5 11+ -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3317,74445] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-204:1] [33:-28:1] |
Generators of the group modulo torsion |
j |
-15332135329/23232 |
j-invariant |
L |
10.32783476175 |
L(r)(E,1)/r! |
Ω |
1.341662129006 |
Real period |
R |
0.16037064738654 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23826k1 71478m1 |
Quadratic twists by: -3 -19 |