Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104bj |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1223102532943872 = -1 · 230 · 34 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6463,1672863] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:756:1] |
Generators of the group modulo torsion |
j |
113872553423/4665765888 |
j-invariant |
L |
9.5186149530415 |
L(r)(E,1)/r! |
Ω |
0.36767210871214 |
Real period |
R |
2.1574057263407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55104bs1 1722m1 |
Quadratic twists by: -4 8 |