Atkin-Lehner |
2- 3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310bp |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-88751937207960000 = -1 · 26 · 33 · 54 · 13 · 436 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-110918,20216981] |
[a1,a2,a3,a4,a6] |
j |
-5589363665697069987/3287108785480000 |
j-invariant |
L |
5.0391188803467 |
L(r)(E,1)/r! |
Ω |
0.31494493004866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
50310i4 |
Quadratic twists by: -3 |