Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17520n |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
44140308480000 = 214 · 310 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17800,-850448] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:240:1] |
Generators of the group modulo torsion |
j |
152281858840201/10776442500 |
j-invariant |
L |
5.0000592372084 |
L(r)(E,1)/r! |
Ω |
0.41516925148799 |
Real period |
R |
1.5054279728351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2190f1 70080cb1 52560p1 87600ck1 |
Quadratic twists by: -4 8 -3 5 |