Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560bb |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
237126171340800 = 212 · 39 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1588188,770372512] |
[a1,a2,a3,a4,a6] |
Generators |
[581:6615:1] |
Generators of the group modulo torsion |
j |
1261112198464/675 |
j-invariant |
L |
3.9616940371713 |
L(r)(E,1)/r! |
Ω |
0.45693830007803 |
Real period |
R |
1.0837606619916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001304 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560di4 23520bx4 1440g2 |
Quadratic twists by: -4 -3 -7 |