Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800dk |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
15868800 |
Modular degree for the optimal curve |
Δ |
-2.9926395815657E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 0 -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5939792,-83042346412] |
[a1,a2,a3,a4,a6] |
Generators |
[2941694:-265420800:343] |
Generators of the group modulo torsion |
j |
14484962248019375/1870399738478592 |
j-invariant |
L |
9.3575848452395 |
L(r)(E,1)/r! |
Ω |
0.037931409327577 |
Real period |
R |
2.0558127177941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850ba1 70800bp1 |
Quadratic twists by: -4 5 |