Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21960i |
Isogeny class |
Conductor |
21960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-1366087680 = -1 · 211 · 37 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -2 5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-1906] |
[a1,a2,a3,a4,a6] |
Generators |
[34:180:1] |
Generators of the group modulo torsion |
j |
-235298/915 |
j-invariant |
L |
5.9798471837509 |
L(r)(E,1)/r! |
Ω |
0.62639633211927 |
Real period |
R |
2.3866068801518 |
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 |
43920r1 7320h1 109800bk1 |
Quadratic twists by: -4 -3 5 |