Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840et |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3268608 |
Modular degree for the optimal curve |
Δ |
-1.201871063808E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -4 1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2493228,1524426352] |
[a1,a2,a3,a4,a6] |
Generators |
[854:4248:1] |
Generators of the group modulo torsion |
j |
-71751706663500872/503130234375 |
j-invariant |
L |
6.7758285524146 |
L(r)(E,1)/r! |
Ω |
0.22693955199559 |
Real period |
R |
3.7321769345828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840fp1 61920cd1 41280dg1 |
Quadratic twists by: -4 8 -3 |