Atkin-Lehner |
2+ 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270m |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1903739760 = -1 · 24 · 310 · 5 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,270,1156] |
[a1,a2,a3,a4,a6] |
Generators |
[0:34:1] |
Generators of the group modulo torsion |
j |
2979767519/2611440 |
j-invariant |
L |
4.3513799824183 |
L(r)(E,1)/r! |
Ω |
0.96303364861049 |
Real period |
R |
2.2592045400993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090t1 |
Quadratic twists by: -3 |