Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070b |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2363904 |
Modular degree for the optimal curve |
Δ |
-1.0750675103634E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1156833,1648134837] |
[a1,a2,a3,a4,a6] |
Generators |
[145351:55341022:1] |
Generators of the group modulo torsion |
j |
-66730743078481/419010969600 |
j-invariant |
L |
3.5188649615738 |
L(r)(E,1)/r! |
Ω |
0.13383955659957 |
Real period |
R |
6.5729165782032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123210dh1 1110k1 |
Quadratic twists by: -3 37 |