Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200ck |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-126525473280000 = -1 · 212 · 313 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5392,-521088] |
[a1,a2,a3,a4,a6] |
j |
6771000575/49424013 |
j-invariant |
L |
0.58378235183457 |
L(r)(E,1)/r! |
Ω |
0.29189117591962 |
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 |
2325l1 111600gq1 37200db1 |
Quadratic twists by: -4 -3 5 |