Atkin-Lehner |
2- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
8260d |
Isogeny class |
Conductor |
8260 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-31189760 = -1 · 28 · 5 · 7 · 592 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 1 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-245,1585] |
[a1,a2,a3,a4,a6] |
Generators |
[27:118:1] |
Generators of the group modulo torsion |
j |
-6379012096/121835 |
j-invariant |
L |
3.8234563505597 |
L(r)(E,1)/r! |
Ω |
2.0864766535191 |
Real period |
R |
0.3054156987659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33040g1 74340m1 41300b1 57820e1 |
Quadratic twists by: -4 -3 5 -7 |