Atkin-Lehner |
2- 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
104580l |
Isogeny class |
Conductor |
104580 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-622617030000 = -1 · 24 · 37 · 54 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21873,1245697] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-225:1] [-79:1575:1] |
Generators of the group modulo torsion |
j |
-99220465451776/53379375 |
j-invariant |
L |
11.281609091317 |
L(r)(E,1)/r! |
Ω |
0.90192486409742 |
Real period |
R |
0.17372734847326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34860l1 |
Quadratic twists by: -3 |