Atkin-Lehner |
2- 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280z |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1553989632000 = 224 · 3 · 53 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31216,2132416] |
[a1,a2,a3,a4,a6] |
Generators |
[6852:4991:64] |
Generators of the group modulo torsion |
j |
821314391438449/379392000 |
j-invariant |
L |
5.3710106749289 |
L(r)(E,1)/r! |
Ω |
0.83390620654834 |
Real period |
R |
6.4407851060266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410s1 |
Quadratic twists by: -4 |