Atkin-Lehner |
2+ 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4278g |
Isogeny class |
Conductor |
4278 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9445824 = 26 · 32 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 4 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-95232,-11319410] |
[a1,a2,a3,a4,a6] |
Generators |
[374:2139:1] |
Generators of the group modulo torsion |
j |
95513744666001739897/9445824 |
j-invariant |
L |
3.1333641161759 |
L(r)(E,1)/r! |
Ω |
0.27177178990732 |
Real period |
R |
5.7646971329225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34224x2 12834j2 106950bk2 98394w2 |
Quadratic twists by: -4 -3 5 -23 |