Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3894f |
Isogeny class |
Conductor |
3894 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-110375336544 = -1 · 25 · 3 · 117 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 11- -6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1024,20270] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:190:1] |
Generators of the group modulo torsion |
j |
-118580635373689/110375336544 |
j-invariant |
L |
3.2906354029725 |
L(r)(E,1)/r! |
Ω |
0.96318085437052 |
Real period |
R |
0.48806075174785 |
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 |
31152l1 124608e1 11682q1 97350bx1 |
Quadratic twists by: -4 8 -3 5 |