Atkin-Lehner |
2- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
6608c |
Isogeny class |
Conductor |
6608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-2652504064 = -1 · 217 · 73 · 59 |
Discriminant |
Eigenvalues |
2- -2 3 7+ 2 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2184,38644] |
[a1,a2,a3,a4,a6] |
Generators |
[30:32:1] |
Generators of the group modulo torsion |
j |
-281397674377/647584 |
j-invariant |
L |
3.3790875339915 |
L(r)(E,1)/r! |
Ω |
1.4428789860478 |
Real period |
R |
0.58547660037089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
826b1 26432f1 59472bb1 46256bg1 |
Quadratic twists by: -4 8 -3 -7 |