Atkin-Lehner |
2+ 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
12402c |
Isogeny class |
Conductor |
12402 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-5641620192 = -1 · 25 · 39 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 -5 13+ 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81,3645] |
[a1,a2,a3,a4,a6] |
Generators |
[3:57:1] |
Generators of the group modulo torsion |
j |
-81182737/7738848 |
j-invariant |
L |
3.5871750064886 |
L(r)(E,1)/r! |
Ω |
1.1116721603829 |
Real period |
R |
0.80670703430524 |
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 |
99216bg1 4134f1 |
Quadratic twists by: -4 -3 |