Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026f |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
2720306802926592 = 210 · 36 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35052,-279856] |
[a1,a2,a3,a4,a6] |
Generators |
[-4920:7276:27] |
Generators of the group modulo torsion |
j |
3687953625/2106368 |
j-invariant |
L |
4.539397451448 |
L(r)(E,1)/r! |
Ω |
0.37780607327578 |
Real period |
R |
6.0075760721478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4114c1 3366p1 |
Quadratic twists by: -3 -11 |