Atkin-Lehner |
5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55955f |
Isogeny class |
Conductor |
55955 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
135000 |
Modular degree for the optimal curve |
Δ |
-4557569721875 = -1 · 55 · 196 · 31 |
Discriminant |
Eigenvalues |
2 1 5- -2 2 6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,3490,-64061] |
[a1,a2,a3,a4,a6] |
Generators |
[19086:209537:216] |
Generators of the group modulo torsion |
j |
99897344/96875 |
j-invariant |
L |
15.045803020446 |
L(r)(E,1)/r! |
Ω |
0.42204530720543 |
Real period |
R |
7.1299468391428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
155a1 |
Quadratic twists by: -19 |