Atkin-Lehner |
2+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6358g |
Isogeny class |
Conductor |
6358 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2808 |
Modular degree for the optimal curve |
Δ |
-889331608 = -1 · 23 · 113 · 174 |
Discriminant |
Eigenvalues |
2+ -2 0 2 11- 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151,-1614] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2281:1] |
Generators of the group modulo torsion |
j |
-4515625/10648 |
j-invariant |
L |
2.3094655581612 |
L(r)(E,1)/r! |
Ω |
0.63628594802078 |
Real period |
R |
3.6296032708957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
50864bl1 57222bn1 69938u1 6358a1 |
Quadratic twists by: -4 -3 -11 17 |