Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200z |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
12660480 |
Modular degree for the optimal curve |
Δ |
-2.1575450748653E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44857928,-117794282292] |
[a1,a2,a3,a4,a6] |
Generators |
[19627:2561808:1] |
Generators of the group modulo torsion |
j |
-779886460619434886243720/16855820897385108159 |
j-invariant |
L |
10.301492173937 |
L(r)(E,1)/r! |
Ω |
0.029130914415886 |
Real period |
R |
3.3678808371403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000086225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200f1 127200cm1 |
Quadratic twists by: -4 5 |