Atkin-Lehner |
5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
97405b |
Isogeny class |
Conductor |
97405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-835365331732421875 = -1 · 59 · 74 · 114 · 233 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 11- -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11708121,-15423772314] |
[a1,a2,a3,a4,a6] |
Generators |
[37916010:2496874769:5832] |
Generators of the group modulo torsion |
j |
-12123125885455494283264/57056576171875 |
j-invariant |
L |
2.4200715078017 |
L(r)(E,1)/r! |
Ω |
0.040808218207208 |
Real period |
R |
14.825883187584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97405a2 |
Quadratic twists by: -11 |