Atkin-Lehner |
2+ 3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560k |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-409496572154880 = -1 · 210 · 34 · 5 · 72 · 674 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8240,1018032] |
[a1,a2,a3,a4,a6] |
Generators |
[197:2646:1] |
Generators of the group modulo torsion |
j |
-60430765429444/399898996245 |
j-invariant |
L |
6.3673997392029 |
L(r)(E,1)/r! |
Ω |
0.45809362036529 |
Real period |
R |
3.4749445546392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56280z3 |
Quadratic twists by: -4 |