Atkin-Lehner |
2+ 3+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
84912c |
Isogeny class |
Conductor |
84912 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
10974788593625088 = 211 · 310 · 293 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1035656,-405292272] |
[a1,a2,a3,a4,a6] |
Generators |
[-73120:18676:125] |
Generators of the group modulo torsion |
j |
59984736562400902418/5358783492981 |
j-invariant |
L |
8.1955858872198 |
L(r)(E,1)/r! |
Ω |
0.14965732088185 |
Real period |
R |
4.5635287756366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42456f2 |
Quadratic twists by: -4 |