Atkin-Lehner |
2- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070bs |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
592683591500000 = 25 · 56 · 73 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35083,2250427] |
[a1,a2,a3,a4,a6] |
Generators |
[37:982:1] |
Generators of the group modulo torsion |
j |
13922209254364263/1727940500000 |
j-invariant |
L |
8.9352374712903 |
L(r)(E,1)/r! |
Ω |
0.4977949532976 |
Real period |
R |
0.44874086266222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000474 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70070cg2 |
Quadratic twists by: -7 |