Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170p |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
2677858442758800 = 24 · 39 · 52 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36279,944653] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:1949:1] |
Generators of the group modulo torsion |
j |
7243839850989169/3673331197200 |
j-invariant |
L |
5.4584581874302 |
L(r)(E,1)/r! |
Ω |
0.40194113683844 |
Real period |
R |
0.42438258422344 |
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 |
12390n1 |
Quadratic twists by: -3 |