Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050bz |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-38925619200 = -1 · 212 · 34 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 1 13+ 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,602,7652] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-118:1] |
Generators of the group modulo torsion |
j |
965001720695/1557024768 |
j-invariant |
L |
9.6273902556993 |
L(r)(E,1)/r! |
Ω |
0.78527338925461 |
Real period |
R |
0.12770751758026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150y1 37050s1 |
Quadratic twists by: -3 5 |