Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192be |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-5046004736 = -1 · 210 · 174 · 59 |
Discriminant |
Eigenvalues |
2+ 3 1 -5 2 -4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112,-3448] |
[a1,a2,a3,a4,a6] |
Generators |
[642:2312:27] |
Generators of the group modulo torsion |
j |
-151732224/4927739 |
j-invariant |
L |
10.516476189895 |
L(r)(E,1)/r! |
Ω |
0.59405781079095 |
Real period |
R |
2.2128478068323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192cm1 4012c1 |
Quadratic twists by: -4 8 |