Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390db |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-107957247147540 = -1 · 22 · 311 · 5 · 77 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11710,-108648] |
[a1,a2,a3,a4,a6] |
Generators |
[172:2560:1] |
Generators of the group modulo torsion |
j |
1509398240111/917621460 |
j-invariant |
L |
11.844654301295 |
L(r)(E,1)/r! |
Ω |
0.34486291125715 |
Real period |
R |
0.78059043137927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770n1 |
Quadratic twists by: -7 |