Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400ei |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-8.479859663232E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5241675,-4640255750] |
[a1,a2,a3,a4,a6] |
Generators |
[28885670:353801925:10648] |
Generators of the group modulo torsion |
j |
-341370886042369/1817528220 |
j-invariant |
L |
6.0082988028017 |
L(r)(E,1)/r! |
Ω |
0.049872801608014 |
Real period |
R |
7.5295283811435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550bd1 22800cx1 13680bn1 |
Quadratic twists by: -4 -3 5 |