Atkin-Lehner |
3- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
3477b |
Isogeny class |
Conductor |
3477 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-198189 = -1 · 32 · 192 · 61 |
Discriminant |
Eigenvalues |
-1 3- -1 -1 3 -1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[9:24:1] |
Generators of the group modulo torsion |
j |
80062991/198189 |
j-invariant |
L |
2.4603525917826 |
L(r)(E,1)/r! |
Ω |
1.6410693330344 |
Real period |
R |
0.37480936092343 |
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 |
55632p1 10431a1 86925d1 66063d1 |
Quadratic twists by: -4 -3 5 -19 |