Atkin-Lehner |
2+ 3- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
108072g |
Isogeny class |
Conductor |
108072 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-170647201008 = -1 · 24 · 39 · 193 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 2 -2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1371,27871] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:171:1] [26:99:1] |
Generators of the group modulo torsion |
j |
-24433662208/14630247 |
j-invariant |
L |
10.239849748151 |
L(r)(E,1)/r! |
Ω |
0.94257500064726 |
Real period |
R |
0.90530813111541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36024h1 |
Quadratic twists by: -3 |