Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330eh |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
220460956369290 = 2 · 38 · 5 · 76 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-213233,-37839049] |
[a1,a2,a3,a4,a6] |
Generators |
[10014:320483:8] |
Generators of the group modulo torsion |
j |
12501706118329/2570490 |
j-invariant |
L |
8.9721386305259 |
L(r)(E,1)/r! |
Ω |
0.22217309649574 |
Real period |
R |
5.0479439072761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bh3 1170m3 |
Quadratic twists by: -3 -7 |