Atkin-Lehner |
2+ 3- 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
47064b |
Isogeny class |
Conductor |
47064 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
232523949597696 = 210 · 310 · 372 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24912,1315440] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1680:1] |
Generators of the group modulo torsion |
j |
1669809679334212/227074169529 |
j-invariant |
L |
8.9482778688864 |
L(r)(E,1)/r! |
Ω |
0.53651570295084 |
Real period |
R |
3.3357002673542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94128b2 |
Quadratic twists by: -4 |