Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37960b |
Isogeny class |
Conductor |
37960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
3158272000 = 211 · 53 · 132 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 -5 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-536,-3764] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:26:1] |
Generators of the group modulo torsion |
j |
8331019058/1542125 |
j-invariant |
L |
3.3977497307576 |
L(r)(E,1)/r! |
Ω |
1.0047457153945 |
Real period |
R |
1.6908505698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75920b1 |
Quadratic twists by: -4 |