Atkin-Lehner |
2+ 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270y |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-7050888000 = -1 · 26 · 37 · 53 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -1 13- -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1224,17280] |
[a1,a2,a3,a4,a6] |
Generators |
[21:12:1] [-24:192:1] |
Generators of the group modulo torsion |
j |
-278317173889/9672000 |
j-invariant |
L |
6.685920003621 |
L(r)(E,1)/r! |
Ω |
1.3194587524681 |
Real period |
R |
0.21113202639327 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090z1 |
Quadratic twists by: -3 |