Atkin-Lehner |
2+ 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
62050a |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3850202500000000 = -1 · 28 · 510 · 172 · 732 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,17975,2845125] |
[a1,a2,a3,a4,a6] |
Generators |
[390:47405:27] |
Generators of the group modulo torsion |
j |
41102915774831/246412960000 |
j-invariant |
L |
8.2388835030977 |
L(r)(E,1)/r! |
Ω |
0.31936161299756 |
Real period |
R |
3.2247471079822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12410n2 |
Quadratic twists by: 5 |