Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
71736f |
Isogeny class |
Conductor |
71736 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
108485223388416 = 28 · 310 · 76 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11972,-59760] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:540:1] |
Generators of the group modulo torsion |
j |
6301325392/3601989 |
j-invariant |
L |
8.8553449553309 |
L(r)(E,1)/r! |
Ω |
0.4944164392994 |
Real period |
R |
1.7910700881422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1464a2 |
Quadratic twists by: -7 |