Atkin-Lehner |
2- 3+ 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45540d |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-3415500000000 = -1 · 28 · 33 · 59 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ -1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12912,571684] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:1050:1] |
Generators of the group modulo torsion |
j |
-34442965352448/494140625 |
j-invariant |
L |
4.7364731751496 |
L(r)(E,1)/r! |
Ω |
0.79499633248707 |
Real period |
R |
0.99297589636121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
45540c2 |
Quadratic twists by: -3 |