Atkin-Lehner |
2+ 3- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630n |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
67926443062500 = 22 · 38 · 56 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28809,1847065] |
[a1,a2,a3,a4,a6] |
Generators |
[176:-1573:1] |
Generators of the group modulo torsion |
j |
3627347927618449/93177562500 |
j-invariant |
L |
4.2897623283432 |
L(r)(E,1)/r! |
Ω |
0.6162727034181 |
Real period |
R |
0.58006819391144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12210t2 |
Quadratic twists by: -3 |