Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880bh |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-36142149795840 = -1 · 232 · 32 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2656,-293120] |
[a1,a2,a3,a4,a6] |
Generators |
[57015:671320:343] |
Generators of the group modulo torsion |
j |
-506071034209/8823767040 |
j-invariant |
L |
5.1809481975357 |
L(r)(E,1)/r! |
Ω |
0.28002921387121 |
Real period |
R |
9.2507280328038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bj1 |
Quadratic twists by: -4 |