Atkin-Lehner |
2+ 3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050a |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
55214773177687500 = 22 · 3 · 56 · 138 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-592475,-175413375] |
[a1,a2,a3,a4,a6] |
Generators |
[-431:551:1] |
Generators of the group modulo torsion |
j |
1472024100054611377/3533745483372 |
j-invariant |
L |
3.6773447820828 |
L(r)(E,1)/r! |
Ω |
0.17210544129279 |
Real period |
R |
5.3417032524659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150dt6 1482j5 |
Quadratic twists by: -3 5 |