Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300bj |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1096153368750000 = -1 · 24 · 32 · 58 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4033,-1597312] |
[a1,a2,a3,a4,a6] |
j |
-16384/2475 |
j-invariant |
L |
2.6149809309496 |
L(r)(E,1)/r! |
Ω |
0.21791507757729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108900bq1 7260a1 3300m1 |
Quadratic twists by: -3 5 -11 |