Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450bn |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2462400 |
Modular degree for the optimal curve |
Δ |
-8.3175513468849E+19 |
Discriminant |
Eigenvalues |
2- -2 5- -4 0 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-650988,483067792] |
[a1,a2,a3,a4,a6] |
Generators |
[1446:49930:1] |
Generators of the group modulo torsion |
j |
-19026212425/51868672 |
j-invariant |
L |
3.9774156769267 |
L(r)(E,1)/r! |
Ω |
0.16947001965888 |
Real period |
R |
0.58674326074588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450f1 1850g1 |
Quadratic twists by: 5 37 |