Atkin-Lehner |
2- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
68432v |
Isogeny class |
Conductor |
68432 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-44637372416 = -1 · 214 · 73 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 1 1 7- -3 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58520,5429396] |
[a1,a2,a3,a4,a6] |
Generators |
[140:14:1] |
Generators of the group modulo torsion |
j |
-5411082280083481/10897796 |
j-invariant |
L |
7.8536953903586 |
L(r)(E,1)/r! |
Ω |
0.97819505868853 |
Real period |
R |
0.66906350631134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000621 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554a1 |
Quadratic twists by: -4 |