Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650de |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
30962146320000000 = 210 · 39 · 57 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-372938,87219492] |
[a1,a2,a3,a4,a6] |
Generators |
[292:1654:1] |
Generators of the group modulo torsion |
j |
367124756298856921/1981577364480 |
j-invariant |
L |
11.794414531538 |
L(r)(E,1)/r! |
Ω |
0.37295164895995 |
Real period |
R |
0.17569174277158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130i1 |
Quadratic twists by: 5 |