Atkin-Lehner |
5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
62135b |
Isogeny class |
Conductor |
62135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-648697166875 = -1 · 54 · 176 · 43 |
Discriminant |
Eigenvalues |
0 0 5- 2 1 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2312,-57728] |
[a1,a2,a3,a4,a6] |
j |
-56623104/26875 |
j-invariant |
L |
1.3463984064482 |
L(r)(E,1)/r! |
Ω |
0.33659960126486 |
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 |
215a1 |
Quadratic twists by: 17 |