Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640s |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
242066299910400 = 28 · 38 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16023,221578] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:490:1] |
Generators of the group modulo torsion |
j |
20720464/11025 |
j-invariant |
L |
4.8558811087018 |
L(r)(E,1)/r! |
Ω |
0.48680731707281 |
Real period |
R |
2.4937387639839 |
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 |
35280br2 5880bj2 88200gs2 2520j2 |
Quadratic twists by: -4 -3 5 -7 |