Atkin-Lehner |
2+ 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640o |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9160136616960 = -1 · 210 · 32 · 5 · 7 · 734 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4944,-55836] |
[a1,a2,a3,a4,a6] |
Generators |
[411:8460:1] |
Generators of the group modulo torsion |
j |
13048821672764/8945445915 |
j-invariant |
L |
9.1822375883103 |
L(r)(E,1)/r! |
Ω |
0.41345680912163 |
Real period |
R |
5.5521141111776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61320b3 |
Quadratic twists by: -4 |