Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275s |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3133265073134765625 = 314 · 510 · 72 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1576355,-756609478] |
[a1,a2,a3,a4,a6] |
Generators |
[-55478772:-115138805:79507] |
Generators of the group modulo torsion |
j |
38031021045305569/275074025625 |
j-invariant |
L |
3.8356581232986 |
L(r)(E,1)/r! |
Ω |
0.13479550499119 |
Real period |
R |
7.1138464959133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997727 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19425s2 11655l2 |
Quadratic twists by: -3 5 |