Atkin-Lehner |
11- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5797b |
Isogeny class |
Conductor |
5797 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4464 |
Modular degree for the optimal curve |
Δ |
-674080957 = -1 · 113 · 17 · 313 |
Discriminant |
Eigenvalues |
-1 0 4 -2 11- 7 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-838,-9206] |
[a1,a2,a3,a4,a6] |
Generators |
[34:10:1] |
Generators of the group modulo torsion |
j |
-65008450849329/674080957 |
j-invariant |
L |
3.0906239606042 |
L(r)(E,1)/r! |
Ω |
0.44343565599191 |
Real period |
R |
2.3232412029737 |
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 |
92752j1 52173d1 63767a1 98549c1 |
Quadratic twists by: -4 -3 -11 17 |