Atkin-Lehner |
2+ 3- 5- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
36210l |
Isogeny class |
Conductor |
36210 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
48640 |
Modular degree for the optimal curve |
Δ |
-484650572400 = -1 · 24 · 310 · 52 · 172 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1193,36956] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:238:1] |
Generators of the group modulo torsion |
j |
-187551972848521/484650572400 |
j-invariant |
L |
5.7658710359181 |
L(r)(E,1)/r! |
Ω |
0.82413593728161 |
Real period |
R |
0.34981310576852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108630o1 |
Quadratic twists by: -3 |