Atkin-Lehner |
2+ 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17520c |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-168192000 = -1 · 211 · 32 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 -4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320,2400] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:20:1] [20:-60:1] |
Generators of the group modulo torsion |
j |
-1775007362/82125 |
j-invariant |
L |
6.1814190746288 |
L(r)(E,1)/r! |
Ω |
1.7938151359652 |
Real period |
R |
0.14358175652863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8760g1 70080cd1 52560a1 87600t1 |
Quadratic twists by: -4 8 -3 5 |