Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
76880k |
Isogeny class |
Conductor |
76880 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-880403651552000 = -1 · 28 · 53 · 317 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 -2 2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24345,2051557] |
[a1,a2,a3,a4,a6] |
Generators |
[52:961:1] |
Generators of the group modulo torsion |
j |
-7023616/3875 |
j-invariant |
L |
4.6698532780381 |
L(r)(E,1)/r! |
Ω |
0.4635631687385 |
Real period |
R |
1.67897048837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38440l1 2480f1 |
Quadratic twists by: -4 -31 |