Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730bp |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
213526041503906250 = 2 · 32 · 512 · 77 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1958703,1054720048] |
[a1,a2,a3,a4,a6] |
Generators |
[974:7950:1] |
Generators of the group modulo torsion |
j |
7063841059686934489/1814941406250 |
j-invariant |
L |
5.1000995530889 |
L(r)(E,1)/r! |
Ω |
0.30820639391259 |
Real period |
R |
1.3789730023709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390c3 |
Quadratic twists by: -7 |