Atkin-Lehner |
2+ 3+ 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310g |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-14258508030 = -1 · 2 · 33 · 5 · 134 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-294,6138] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-69:1] |
Generators of the group modulo torsion |
j |
-104287581243/528092890 |
j-invariant |
L |
3.8442339327497 |
L(r)(E,1)/r! |
Ω |
1.0849544954965 |
Real period |
R |
0.88580533761411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310bm2 |
Quadratic twists by: -3 |