Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ec |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
79973127007764480 = 221 · 33 · 5 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18066561,29563087905] |
[a1,a2,a3,a4,a6] |
Generators |
[33431:-6065312:1] |
Generators of the group modulo torsion |
j |
21145699168383889/2593080 |
j-invariant |
L |
5.1528960933892 |
L(r)(E,1)/r! |
Ω |
0.26598171005599 |
Real period |
R |
9.6865609524674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040cf5 11760co4 6720cg4 |
Quadratic twists by: -4 8 -7 |