Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616q |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-6031355904 = -1 · 212 · 34 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 1 -4 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,51,3717] |
[a1,a2,a3,a4,a6] |
Generators |
[39:252:1] |
Generators of the group modulo torsion |
j |
3511808/1472499 |
j-invariant |
L |
6.0314080727512 |
L(r)(E,1)/r! |
Ω |
1.0448402780354 |
Real period |
R |
0.48104705567148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35616t1 71232dl1 106848u1 |
Quadratic twists by: -4 8 -3 |