Atkin-Lehner |
3+ 5- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
63135c |
Isogeny class |
Conductor |
63135 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-193720971735 = -1 · 39 · 5 · 232 · 612 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69,-21160] |
[a1,a2,a3,a4,a6] |
Generators |
[44:222:1] [742:6621:8] |
Generators of the group modulo torsion |
j |
-1860867/9842045 |
j-invariant |
L |
11.338399818756 |
L(r)(E,1)/r! |
Ω |
0.4574540677726 |
Real period |
R |
12.39293802104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63135b2 |
Quadratic twists by: -3 |