Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840bp |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403701760 |
Modular degree for the optimal curve |
Δ |
-3.1610484194048E+32 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 5 5 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14383788432,-539303762160992] |
[a1,a2,a3,a4,a6] |
j |
27554726454844416496885738496/26465717996184551883676875 |
j-invariant |
L |
1.8388143275944 |
L(r)(E,1)/r! |
Ω |
0.0093817005431816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840fh1 15480i1 41280bn1 |
Quadratic twists by: -4 8 -3 |