Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200cy |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-2092500000000 = -1 · 28 · 33 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2292,56088] |
[a1,a2,a3,a4,a6] |
Generators |
[27:372:1] |
Generators of the group modulo torsion |
j |
532400/837 |
j-invariant |
L |
6.0693771291871 |
L(r)(E,1)/r! |
Ω |
0.56249782299687 |
Real period |
R |
3.5966818483857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9300e1 111600em1 37200cg1 |
Quadratic twists by: -4 -3 5 |