Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3910m |
Isogeny class |
Conductor |
3910 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1232 |
Modular degree for the optimal curve |
Δ |
-92088320 = -1 · 211 · 5 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 1 5- -2 -6 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,40,-448] |
[a1,a2,a3,a4,a6] |
Generators |
[32:168:1] |
Generators of the group modulo torsion |
j |
7066834559/92088320 |
j-invariant |
L |
5.786081319543 |
L(r)(E,1)/r! |
Ω |
0.93427745787362 |
Real period |
R |
0.28150491497617 |
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 |
31280y1 125120h1 35190p1 19550k1 |
Quadratic twists by: -4 8 -3 5 |