Atkin-Lehner |
2+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040a |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5138524160 = 211 · 5 · 74 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44603,-3625718] |
[a1,a2,a3,a4,a6] |
Generators |
[319:3822:1] |
Generators of the group modulo torsion |
j |
4791659740788258/2509045 |
j-invariant |
L |
4.5333259526378 |
L(r)(E,1)/r! |
Ω |
0.3285175314082 |
Real period |
R |
3.4498356748852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999593491 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58520n4 |
Quadratic twists by: -4 |