Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728df |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.1177054971436E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 6 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-724169,-358131735] |
[a1,a2,a3,a4,a6] |
Generators |
[2271789841304801150341:43809735318720607749268:1872633329793286003] |
Generators of the group modulo torsion |
j |
-10253783727692120512/7611585686385723 |
j-invariant |
L |
4.7497124475634 |
L(r)(E,1)/r! |
Ω |
0.079264911445001 |
Real period |
R |
29.961002674354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728fa2 24864j1 |
Quadratic twists by: -4 8 |