Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960dh |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
1456 |
Product of Tamagawa factors cp |
deg |
92252160 |
Modular degree for the optimal curve |
Δ |
-5.0891170510663E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 0 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,405710555,1373806658975] |
[a1,a2,a3,a4,a6] |
Generators |
[69935:19282050:1] |
Generators of the group modulo torsion |
j |
194879272239195815936/134287459716796875 |
j-invariant |
L |
8.0697093982116 |
L(r)(E,1)/r! |
Ω |
0.027225005782601 |
Real period |
R |
0.20357692203615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999076276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31740d1 5520bd1 |
Quadratic twists by: -4 -23 |