Atkin-Lehner |
2+ 3+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87906g |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-5292628356103452 = -1 · 22 · 310 · 78 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -4 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-102043,-13068215] |
[a1,a2,a3,a4,a6] |
Generators |
[72570:19513195:1] |
Generators of the group modulo torsion |
j |
-998830456240681/44986598748 |
j-invariant |
L |
5.7803360180586 |
L(r)(E,1)/r! |
Ω |
0.13320841984858 |
Real period |
R |
10.8482932841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558h1 |
Quadratic twists by: -7 |