Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60192r |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74240 |
Modular degree for the optimal curve |
Δ |
-234026496 = -1 · 29 · 37 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11+ -4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13179,582334] |
[a1,a2,a3,a4,a6] |
Generators |
[65:18:1] |
Generators of the group modulo torsion |
j |
-678224691656/627 |
j-invariant |
L |
2.6076529599663 |
L(r)(E,1)/r! |
Ω |
1.475196711053 |
Real period |
R |
0.44191614248485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60192bb1 120384dz1 20064k1 |
Quadratic twists by: -4 8 -3 |