Atkin-Lehner |
2+ 3- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630n |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1780218000 = 24 · 37 · 53 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28629,1871653] |
[a1,a2,a3,a4,a6] |
Generators |
[102:19:1] |
Generators of the group modulo torsion |
j |
3559780767858769/2442000 |
j-invariant |
L |
4.2897623283432 |
L(r)(E,1)/r! |
Ω |
1.2325454068362 |
Real period |
R |
1.1601363878229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210t1 |
Quadratic twists by: -3 |