Atkin-Lehner |
2- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
20600w |
Isogeny class |
Conductor |
20600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-65920000 = -1 · 210 · 54 · 103 |
Discriminant |
Eigenvalues |
2- 2 5- 3 4 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-388] |
[a1,a2,a3,a4,a6] |
j |
-100/103 |
j-invariant |
L |
5.3034055284331 |
L(r)(E,1)/r! |
Ω |
0.88390092140551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41200q1 20600b1 |
Quadratic twists by: -4 5 |