Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17520m |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-143523840 = -1 · 217 · 3 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,120,240] |
[a1,a2,a3,a4,a6] |
Generators |
[2:22:1] |
Generators of the group modulo torsion |
j |
46268279/35040 |
j-invariant |
L |
4.4051990813536 |
L(r)(E,1)/r! |
Ω |
1.1747873052064 |
Real period |
R |
1.8748921876457 |
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 |
2190e1 70080ca1 52560o1 87600cj1 |
Quadratic twists by: -4 8 -3 5 |