Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840bq |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-1.62502848E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 0 -5 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,198132,-190955792] |
[a1,a2,a3,a4,a6] |
j |
9002230481662/170068359375 |
j-invariant |
L |
3.8563422594254 |
L(r)(E,1)/r! |
Ω |
0.10712059297674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840fn1 15480j1 41280bo1 |
Quadratic twists by: -4 8 -3 |