Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840fp |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
12 |
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] |
j |
-71751706663500872/503130234375 |
j-invariant |
L |
0.72057541057962 |
L(r)(E,1)/r! |
Ω |
0.060047806387084 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840et1 61920bx1 41280cq1 |
Quadratic twists by: -4 8 -3 |