Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200s |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-4802652000000000 = -1 · 211 · 39 · 59 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -4 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,41792,-565088] |
[a1,a2,a3,a4,a6] |
j |
2018054054/1200663 |
j-invariant |
L |
1.0126913850161 |
L(r)(E,1)/r! |
Ω |
0.25317284495437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36600be1 73200bc1 |
Quadratic twists by: -4 5 |