Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76880t |
Isogeny class |
Conductor |
76880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1.1539626741622E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1630176,817082740] |
[a1,a2,a3,a4,a6] |
Generators |
[444:13454:1] |
Generators of the group modulo torsion |
j |
-131794519969/3174400 |
j-invariant |
L |
4.7248685727734 |
L(r)(E,1)/r! |
Ω |
0.22618033786778 |
Real period |
R |
2.6112286209727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9610a1 2480i1 |
Quadratic twists by: -4 -31 |