Atkin-Lehner |
2+ 3- 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546f |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3456000 |
Modular degree for the optimal curve |
Δ |
-1.9901305556243E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1341927,-320770535] |
[a1,a2,a3,a4,a6] |
j |
366591739889780093807/272994589248871644 |
j-invariant |
L |
0.40009482422299 |
L(r)(E,1)/r! |
Ω |
0.100023734169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28182m1 |
Quadratic twists by: -3 |