Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680bf |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-3.6021067485964E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 1 -6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-820856,406872225] |
[a1,a2,a3,a4,a6] |
j |
-158384129218816/93270234375 |
j-invariant |
L |
1.5273568994662 |
L(r)(E,1)/r! |
Ω |
0.19091961243126 |
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 |
69360be1 104040be1 2040q1 |
Quadratic twists by: -4 -3 17 |