Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4940d |
Isogeny class |
Conductor |
4940 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-178334000 = -1 · 24 · 53 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -6 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1021,-12920] |
[a1,a2,a3,a4,a6] |
j |
-7363872292864/11145875 |
j-invariant |
L |
1.2666584780634 |
L(r)(E,1)/r! |
Ω |
0.42221949268781 |
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 |
19760s2 79040t2 44460q2 24700b2 |
Quadratic twists by: -4 8 -3 5 |