Atkin-Lehner |
2+ 5- 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18290c |
Isogeny class |
Conductor |
18290 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1872000 |
Modular degree for the optimal curve |
Δ |
-7.241784623104E+22 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 0 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1151468,-12938133936] |
[a1,a2,a3,a4,a6] |
Generators |
[1344056535144:-25205053035572:586376253] |
Generators of the group modulo torsion |
j |
168841321350864453614519/72417846231040000000000 |
j-invariant |
L |
6.216588649056 |
L(r)(E,1)/r! |
Ω |
0.051192642153858 |
Real period |
R |
12.143519825314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91450l1 |
Quadratic twists by: 5 |