Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bj |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-624467254394880 = -1 · 214 · 39 · 5 · 13 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 3 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-273782,-55083131] |
[a1,a2,a3,a4,a6] |
Generators |
[889:19643:1] |
Generators of the group modulo torsion |
j |
-115304327640815067/31726223360 |
j-invariant |
L |
10.210083782919 |
L(r)(E,1)/r! |
Ω |
0.10435452640283 |
Real period |
R |
1.1647661165566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36270d1 |
Quadratic twists by: -3 |