Atkin-Lehner |
2+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3190c |
Isogeny class |
Conductor |
3190 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-154396000000 = -1 · 28 · 56 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,137,18906] |
[a1,a2,a3,a4,a6] |
Generators |
[20:162:1] |
Generators of the group modulo torsion |
j |
287365339799/154396000000 |
j-invariant |
L |
2.0215915787873 |
L(r)(E,1)/r! |
Ω |
0.79883292110601 |
Real period |
R |
2.5306813544793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
25520q1 102080b1 28710bd1 15950o1 |
Quadratic twists by: -4 8 -3 5 |