Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690ce |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-12852212058000 = -1 · 24 · 33 · 53 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4715,-213183] |
[a1,a2,a3,a4,a6] |
Generators |
[304:4993:1] |
Generators of the group modulo torsion |
j |
-40112221740049/44471322000 |
j-invariant |
L |
13.38277745653 |
L(r)(E,1)/r! |
Ω |
0.27608242271551 |
Real period |
R |
0.19235654058023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60690bh1 |
Quadratic twists by: 17 |