Atkin-Lehner |
2- 3- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
54672bm |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-243642925056 = -1 · 222 · 3 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -2 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6055520,-5737571724] |
[a1,a2,a3,a4,a6] |
Generators |
[250370583917718809444823912900:11357854115287458600153398418938:63306678634767981969776037] |
Generators of the group modulo torsion |
j |
-5995400011432589616481/59483136 |
j-invariant |
L |
8.8708780522036 |
L(r)(E,1)/r! |
Ω |
0.048120672968478 |
Real period |
R |
46.086627144713 |
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 |
6834q1 |
Quadratic twists by: -4 |