Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ct |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
4032000 |
Modular degree for the optimal curve |
Δ |
2.0961336511808E+21 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6932000,-6670540000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1271:9317:1] |
Generators of the group modulo torsion |
j |
5755981643735040/327520882997 |
j-invariant |
L |
6.3425947647963 |
L(r)(E,1)/r! |
Ω |
0.093373603277115 |
Real period |
R |
3.2346221275639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999996168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200hh1 7700i1 123200by1 |
Quadratic twists by: -4 8 5 |