Atkin-Lehner |
3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23985d |
Isogeny class |
Conductor |
23985 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1027584 |
Modular degree for the optimal curve |
Δ |
-1521581774776171875 = -1 · 39 · 58 · 136 · 41 |
Discriminant |
Eigenvalues |
2 3+ 5- 2 3 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6974127,7089214385] |
[a1,a2,a3,a4,a6] |
Generators |
[7874:274621:8] |
Generators of the group modulo torsion |
j |
-1905908183040050491392/77304362890625 |
j-invariant |
L |
12.217109203654 |
L(r)(E,1)/r! |
Ω |
0.25166254770385 |
Real period |
R |
1.5170499786224 |
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 |
23985a1 119925g1 |
Quadratic twists by: -3 5 |