Atkin-Lehner |
2- 3- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
113652ba |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-1061502082228781424 = -1 · 24 · 321 · 73 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,190779,37795273] |
[a1,a2,a3,a4,a6] |
j |
65836677424347392/91006694292591 |
j-invariant |
L |
4.479841934646 |
L(r)(E,1)/r! |
Ω |
0.18666005865619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37884m1 |
Quadratic twists by: -3 |