Atkin-Lehner |
2- 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36120x |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1769475456000 = -1 · 210 · 38 · 53 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,280,-64068] |
[a1,a2,a3,a4,a6] |
j |
2362358876/1728003375 |
j-invariant |
L |
2.3453236421166 |
L(r)(E,1)/r! |
Ω |
0.39088727368668 |
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 |
72240bb1 108360n1 |
Quadratic twists by: -4 -3 |