Atkin-Lehner |
2- 3- 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
46314be |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-64589128481488896 = -1 · 214 · 313 · 313 · 83 |
Discriminant |
Eigenvalues |
2- 3- 1 1 0 3 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-784337,267838913] |
[a1,a2,a3,a4,a6] |
Generators |
[693:-7880:1] |
Generators of the group modulo torsion |
j |
-73198768224073055689/88599627546624 |
j-invariant |
L |
10.906749195334 |
L(r)(E,1)/r! |
Ω |
0.34786741801436 |
Real period |
R |
0.18662606154167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15438i1 |
Quadratic twists by: -3 |