Atkin-Lehner |
2- 3+ 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110bb |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-183330240 = -1 · 26 · 3 · 5 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1165,-15805] |
[a1,a2,a3,a4,a6] |
Generators |
[85:670:1] |
Generators of the group modulo torsion |
j |
-174873815994961/183330240 |
j-invariant |
L |
6.1524536690679 |
L(r)(E,1)/r! |
Ω |
0.40856281435717 |
Real period |
R |
2.5097950885668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104880cw1 39330l1 65550bb1 |
Quadratic twists by: -4 -3 5 |