Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bf |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
576348333120000 = 29 · 37 · 54 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5000940016,136122808277716] |
[a1,a2,a3,a4,a6] |
Generators |
[7697456079710010830158540806:27314368635564111421957:188529134456922314361272] |
Generators of the group modulo torsion |
j |
229625675762164624948320008/9568125 |
j-invariant |
L |
4.5618756264676 |
L(r)(E,1)/r! |
Ω |
0.12750598628775 |
Real period |
R |
35.77773686776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23520br4 47040hi4 70560bv4 117600de4 |
Quadratic twists by: -4 8 -3 5 |