Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bf |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
40551115920 = 24 · 3 · 5 · 7 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1018,-7972] |
[a1,a2,a3,a4,a6] |
j |
4826809/1680 |
j-invariant |
L |
3.4775747695242 |
L(r)(E,1)/r! |
Ω |
0.86939369296638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210d1 |
Quadratic twists by: 17 |