Atkin-Lehner |
2- 3+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11868a |
Isogeny class |
Conductor |
11868 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-157227264 = -1 · 28 · 33 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 1 3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-556,5272] |
[a1,a2,a3,a4,a6] |
Generators |
[6:46:1] |
Generators of the group modulo torsion |
j |
-74385620944/614169 |
j-invariant |
L |
3.4222993239651 |
L(r)(E,1)/r! |
Ω |
1.8312664888957 |
Real period |
R |
0.31146926136611 |
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 |
47472l1 35604h1 |
Quadratic twists by: -4 -3 |