Atkin-Lehner |
2+ 3+ 7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33726b |
Isogeny class |
Conductor |
33726 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
355189080012619776 = 222 · 3 · 74 · 115 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-701344,-224537600] |
[a1,a2,a3,a4,a6] |
Generators |
[-1034294036347200:-2361185598366560:2166217892019] |
Generators of the group modulo torsion |
j |
38152055177814572902153/355189080012619776 |
j-invariant |
L |
3.4486149575923 |
L(r)(E,1)/r! |
Ω |
0.16506718210013 |
Real period |
R |
20.892190159885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101178bn1 |
Quadratic twists by: -3 |