Atkin-Lehner |
2+ 5+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
108560a |
Isogeny class |
Conductor |
108560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9268224 |
Modular degree for the optimal curve |
Δ |
-9.4741432982715E+22 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -6 -5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9067656,18162396331] |
[a1,a2,a3,a4,a6] |
Generators |
[-207805:21154037:125] |
Generators of the group modulo torsion |
j |
-5153341049396989240117504/5921339561419677734375 |
j-invariant |
L |
2.1604661726481 |
L(r)(E,1)/r! |
Ω |
0.096873696552157 |
Real period |
R |
5.5754715740507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54280f1 |
Quadratic twists by: -4 |