Atkin-Lehner |
2+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52390a |
Isogeny class |
Conductor |
52390 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21003840 |
Modular degree for the optimal curve |
Δ |
-8.3437297500737E+22 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 -3 13+ -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-204454514,-1125337689084] |
[a1,a2,a3,a4,a6] |
Generators |
[4279305893849173453109088:1400012656133895839125423108:39143200545888564293] |
Generators of the group modulo torsion |
j |
-6856149775935224401/605238722560 |
j-invariant |
L |
1.5298063814822 |
L(r)(E,1)/r! |
Ω |
0.019962644979771 |
Real period |
R |
38.316725640125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52390f1 |
Quadratic twists by: 13 |