Atkin-Lehner |
2+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12896a |
Isogeny class |
Conductor |
12896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3712 |
Modular degree for the optimal curve |
Δ |
-6396416 = -1 · 29 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 1 -3 1 -6 13- -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-312,2024] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:62:1] [10:2:1] |
Generators of the group modulo torsion |
j |
-6581255624/12493 |
j-invariant |
L |
6.3728815570777 |
L(r)(E,1)/r! |
Ω |
2.3812147593664 |
Real period |
R |
0.66907883171927 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12896g1 25792b1 116064p1 |
Quadratic twists by: -4 8 -3 |