Atkin-Lehner |
2- 3- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
13332c |
Isogeny class |
Conductor |
13332 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
78335845632 = 28 · 33 · 11 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ -4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2453,-45609] |
[a1,a2,a3,a4,a6] |
j |
6379012096000/305999397 |
j-invariant |
L |
2.0411336198032 |
L(r)(E,1)/r! |
Ω |
0.68037787326773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53328l1 39996b1 |
Quadratic twists by: -4 -3 |