Atkin-Lehner |
2+ 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
46728b |
Isogeny class |
Conductor |
46728 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-542792448 = -1 · 28 · 33 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36,1124] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:22:1] [-8:30:1] |
Generators of the group modulo torsion |
j |
-746496/78529 |
j-invariant |
L |
8.2864074673375 |
L(r)(E,1)/r! |
Ω |
1.3496844432872 |
Real period |
R |
0.25581311211148 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93456b1 46728l1 |
Quadratic twists by: -4 -3 |