Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050be |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-1170409500 = -1 · 22 · 36 · 53 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,244,758] |
[a1,a2,a3,a4,a6] |
Generators |
[3:37:1] |
Generators of the group modulo torsion |
j |
12928235923/9363276 |
j-invariant |
L |
4.5623284845622 |
L(r)(E,1)/r! |
Ω |
0.9803946976834 |
Real period |
R |
0.38779691615895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150es1 37050bu1 |
Quadratic twists by: -3 5 |