Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414r |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-47192544 = -1 · 25 · 36 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 0 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105,557] |
[a1,a2,a3,a4,a6] |
j |
-610929/224 |
j-invariant |
L |
1.8956387496479 |
L(r)(E,1)/r! |
Ω |
1.8956387496502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046m1 36414bl1 |
Quadratic twists by: -3 17 |