Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920b |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36510566400000000 = 217 · 33 · 58 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121702721,-516730924479] |
[a1,a2,a3,a4,a6] |
Generators |
[124982001609119923:-36086107108639932500:1472594839633] |
Generators of the group modulo torsion |
j |
1520949008089505953959842/278553515625 |
j-invariant |
L |
4.7614113554507 |
L(r)(E,1)/r! |
Ω |
0.04545424854349 |
Real period |
R |
26.18793351584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gx6 9240bh5 |
Quadratic twists by: -4 8 |