Atkin-Lehner |
2+ 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050bc |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-360489052023750000 = -1 · 24 · 312 · 57 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,138499,21008648] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:4066:1] |
Generators of the group modulo torsion |
j |
18803907527146559/23071299329520 |
j-invariant |
L |
4.8320038088632 |
L(r)(E,1)/r! |
Ω |
0.20252224116966 |
Real period |
R |
0.49706513929822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150ef3 7410r4 |
Quadratic twists by: -3 5 |