Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384cp |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-19825476599808 = -1 · 215 · 36 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 11+ 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3756,-231824] |
[a1,a2,a3,a4,a6] |
Generators |
[2460:11528:27] |
Generators of the group modulo torsion |
j |
-245314376/829939 |
j-invariant |
L |
5.8551808850779 |
L(r)(E,1)/r! |
Ω |
0.2803793538603 |
Real period |
R |
5.2207668649901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998702571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384dt1 60192z1 13376r1 |
Quadratic twists by: -4 8 -3 |