Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200bw |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
161906688000000000 = 224 · 34 · 59 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163208,-16355088] |
[a1,a2,a3,a4,a6] |
Generators |
[5386:106875:8] |
Generators of the group modulo torsion |
j |
60098096213/20238336 |
j-invariant |
L |
4.5500525291139 |
L(r)(E,1)/r! |
Ω |
0.24398448677174 |
Real period |
R |
4.6622354853074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9150n1 73200cw1 |
Quadratic twists by: -4 5 |