Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310r |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9666560 |
Modular degree for the optimal curve |
Δ |
2.225551833421E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82941849,290754485293] |
[a1,a2,a3,a4,a6] |
Generators |
[17:537899:1] |
Generators of the group modulo torsion |
j |
86560015391729762216223889/3052883173416960000 |
j-invariant |
L |
5.7750739971977 |
L(r)(E,1)/r! |
Ω |
0.13663137212177 |
Real period |
R |
5.2834443396256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770n1 |
Quadratic twists by: -3 |