Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5490a |
Isogeny class |
Conductor |
5490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-480265200000 = -1 · 27 · 39 · 55 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 0 -3 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2580,-59824] |
[a1,a2,a3,a4,a6] |
Generators |
[187:2350:1] |
Generators of the group modulo torsion |
j |
-96513090003/24400000 |
j-invariant |
L |
2.4675843639979 |
L(r)(E,1)/r! |
Ω |
0.33054066884722 |
Real period |
R |
3.7326486519854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43920x1 5490n1 27450bd1 |
Quadratic twists by: -4 -3 5 |