Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529bg |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-274890691354171347 = -1 · 319 · 72 · 136 |
Discriminant |
Eigenvalues |
2 3- 2 7- -2 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1387659,-629681621] |
[a1,a2,a3,a4,a6] |
Generators |
[833722635339757775917917667127398874:111675793714596034384301407827765572153:46263652220650508484406643776616] |
Generators of the group modulo torsion |
j |
-1713910976512/1594323 |
j-invariant |
L |
14.959482307281 |
L(r)(E,1)/r! |
Ω |
0.069546398478994 |
Real period |
R |
53.775186905616 |
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 |
24843g2 74529q2 441f2 |
Quadratic twists by: -3 -7 13 |