Atkin-Lehner |
5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3355b |
Isogeny class |
Conductor |
3355 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
600 |
Modular degree for the optimal curve |
Δ |
-2096875 = -1 · 55 · 11 · 61 |
Discriminant |
Eigenvalues |
-2 0 5- -2 11- -3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-47,142] |
[a1,a2,a3,a4,a6] |
Generators |
[7:12:1] |
Generators of the group modulo torsion |
j |
-11481993216/2096875 |
j-invariant |
L |
1.6807564758222 |
L(r)(E,1)/r! |
Ω |
2.5086709574569 |
Real period |
R |
0.13399576941936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53680z1 30195e1 16775a1 36905b1 |
Quadratic twists by: -4 -3 5 -11 |