Atkin-Lehner |
2- 3- 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10614p |
Isogeny class |
Conductor |
10614 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-152926044984 = -1 · 23 · 311 · 29 · 612 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 0 4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,444,18504] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1578:1] |
Generators of the group modulo torsion |
j |
9678576503231/152926044984 |
j-invariant |
L |
7.145396801887 |
L(r)(E,1)/r! |
Ω |
0.76324711959055 |
Real period |
R |
0.14184604845343 |
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 |
84912k1 31842k1 |
Quadratic twists by: -4 -3 |