Atkin-Lehner |
2+ 3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560k |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6303360000 = 210 · 3 · 54 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-210120,37142400] |
[a1,a2,a3,a4,a6] |
Generators |
[20:5740:1] |
Generators of the group modulo torsion |
j |
1001908356214943524/6155625 |
j-invariant |
L |
6.3673997392029 |
L(r)(E,1)/r! |
Ω |
0.91618724073058 |
Real period |
R |
3.4749445546392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020086 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56280z4 |
Quadratic twists by: -4 |