Atkin-Lehner |
2- 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36120u |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
335622344400 = 24 · 33 · 52 · 75 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-151191,-22577184] |
[a1,a2,a3,a4,a6] |
j |
23888254680320825344/20976396525 |
j-invariant |
L |
2.4211285742476 |
L(r)(E,1)/r! |
Ω |
0.24211285742544 |
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 |
72240n1 108360s1 |
Quadratic twists by: -4 -3 |