Atkin-Lehner |
2- 3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53808x |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
65829998592 = 212 · 35 · 19 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -6 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1224,-11340] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:42:1] [-18:72:1] |
Generators of the group modulo torsion |
j |
49552182217/16071777 |
j-invariant |
L |
9.903679496486 |
L(r)(E,1)/r! |
Ω |
0.82791113791759 |
Real period |
R |
1.1962249380286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3363c1 |
Quadratic twists by: -4 |