Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920cp |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
42936426086400 = 214 · 34 · 52 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16721,764655] |
[a1,a2,a3,a4,a6] |
Generators |
[127:-840:1] |
Generators of the group modulo torsion |
j |
31558509702736/2620631475 |
j-invariant |
L |
7.450864932914 |
L(r)(E,1)/r! |
Ω |
0.6267735217839 |
Real period |
R |
0.24765939752036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ek2 4620f2 |
Quadratic twists by: -4 8 |