Atkin-Lehner |
2+ 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630d |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
171359890453125000 = 23 · 39 · 59 · 11 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 11- -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-331305,70728101] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:11596:1] |
Generators of the group modulo torsion |
j |
204322939379620803/8705984375000 |
j-invariant |
L |
4.7931440477756 |
L(r)(E,1)/r! |
Ω |
0.31852374929645 |
Real period |
R |
2.5079993032243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36630z1 |
Quadratic twists by: -3 |