Atkin-Lehner |
2+ 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328t |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-71217709056 = -1 · 219 · 35 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 -4 13+ 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,863,8639] |
[a1,a2,a3,a4,a6] |
Generators |
[35:288:1] |
Generators of the group modulo torsion |
j |
270840023/271674 |
j-invariant |
L |
7.0072617317876 |
L(r)(E,1)/r! |
Ω |
0.7213081464054 |
Real period |
R |
0.4857328862834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999639276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107328bm1 3354b1 |
Quadratic twists by: -4 8 |