Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800hu |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-2.034864488448E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1459167,-103269537] |
[a1,a2,a3,a4,a6] |
Generators |
[1959:101376:1] |
Generators of the group modulo torsion |
j |
3355354844375/1987172352 |
j-invariant |
L |
6.3712952765282 |
L(r)(E,1)/r! |
Ω |
0.10438587908463 |
Real period |
R |
0.84772205732522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800bp1 13200bx1 52800ew1 |
Quadratic twists by: -4 8 5 |