Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
104580x |
Isogeny class |
Conductor |
104580 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-1301684670720 = -1 · 28 · 36 · 5 · 75 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 -6 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9687,371054] |
[a1,a2,a3,a4,a6] |
Generators |
[115:882:1] |
Generators of the group modulo torsion |
j |
-538671647824/6974905 |
j-invariant |
L |
8.0808916896598 |
L(r)(E,1)/r! |
Ω |
0.86205327413669 |
Real period |
R |
0.31246683237038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11620d1 |
Quadratic twists by: -3 |