Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690ca |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1489036976582400 = -1 · 28 · 34 · 52 · 7 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4040,1854272] |
[a1,a2,a3,a4,a6] |
j |
302111711/61689600 |
j-invariant |
L |
5.9046897794264 |
L(r)(E,1)/r! |
Ω |
0.36904311143742 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3570r1 |
Quadratic twists by: 17 |