Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280bo |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
11612160 |
Modular degree for the optimal curve |
Δ |
-4.1926834799633E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,72499944,-201462734700] |
[a1,a2,a3,a4,a6] |
Generators |
[167716764:2172024468366:1] |
Generators of the group modulo torsion |
j |
10289085390749886047673191/10236043652254138368000 |
j-invariant |
L |
7.2794396131439 |
L(r)(E,1)/r! |
Ω |
0.035005746669595 |
Real period |
R |
17.329153795492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410a1 |
Quadratic twists by: -4 |