Atkin-Lehner |
2- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55100g |
Isogeny class |
Conductor |
55100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
275500000000 = 28 · 59 · 19 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16508,821512] |
[a1,a2,a3,a4,a6] |
Generators |
[57:250:1] |
Generators of the group modulo torsion |
j |
124386546256/68875 |
j-invariant |
L |
4.2293972138291 |
L(r)(E,1)/r! |
Ω |
0.96573445977661 |
Real period |
R |
1.094865459912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11020e1 |
Quadratic twists by: 5 |