Atkin-Lehner |
2+ 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640d |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
238784082969600 = 210 · 36 · 52 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47936,3986640] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:2548:1] [40:1460:1] |
Generators of the group modulo torsion |
j |
11896472099296516/233187581025 |
j-invariant |
L |
9.4716531194024 |
L(r)(E,1)/r! |
Ω |
0.55655007319369 |
Real period |
R |
4.2546275598227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61320n2 |
Quadratic twists by: -4 |