Atkin-Lehner |
2+ 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640d |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19465876039680 = 211 · 312 · 5 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-763336,256952080] |
[a1,a2,a3,a4,a6] |
Generators |
[-224:20412:1] [336:6188:1] |
Generators of the group modulo torsion |
j |
24018261182512941458/9504822285 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
61320n4 |
Quadratic twists by: -4 |