Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76320a |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
707706201600 = 29 · 39 · 52 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6723,208278] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:530:1] |
Generators of the group modulo torsion |
j |
3334661784/70225 |
j-invariant |
L |
3.4775884558704 |
L(r)(E,1)/r! |
Ω |
0.90341292524264 |
Real period |
R |
0.96234743780779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320u2 76320z2 |
Quadratic twists by: -4 -3 |