Atkin-Lehner |
2- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
46256ba |
Isogeny class |
Conductor |
46256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-11841536 = -1 · 212 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 1 -2 7- -4 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184,916] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-8:1] |
Generators of the group modulo torsion |
j |
-3451273/59 |
j-invariant |
L |
5.1967378980354 |
L(r)(E,1)/r! |
Ω |
2.2638517573214 |
Real period |
R |
0.57388230934444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2891b1 46256w1 |
Quadratic twists by: -4 -7 |