Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62016cb |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
261526929408 = 214 · 32 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 2 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59057,5543697] |
[a1,a2,a3,a4,a6] |
Generators |
[143:48:1] |
Generators of the group modulo torsion |
j |
1390353619548112/15962337 |
j-invariant |
L |
7.049542294966 |
L(r)(E,1)/r! |
Ω |
0.89112594962969 |
Real period |
R |
1.977706489678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016w1 15504d1 |
Quadratic twists by: -4 8 |