Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280bd |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
329341904640000 = 211 · 37 · 54 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60123,-5606678] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:50:1] |
Generators of the group modulo torsion |
j |
136835858/1875 |
j-invariant |
L |
5.6680455054373 |
L(r)(E,1)/r! |
Ω |
0.30514031377948 |
Real period |
R |
2.321901289948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640ca4 11760bf4 720e4 |
Quadratic twists by: -4 -3 -7 |