Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5850q |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-13327031250000 = -1 · 24 · 38 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2051156367,35756293724541] |
[a1,a2,a3,a4,a6] |
Generators |
[8968974:-4451313:343] |
Generators of the group modulo torsion |
j |
-134057911417971280740025/1872 |
j-invariant |
L |
3.3651969669352 |
L(r)(E,1)/r! |
Ω |
0.16323199217897 |
Real period |
R |
5.1540095204586 |
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 |
46800eg2 1950y2 5850bw1 76050ev2 |
Quadratic twists by: -4 -3 5 13 |