Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62016ce |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
2084975935488 = 222 · 34 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -6 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3457,37153] |
[a1,a2,a3,a4,a6] |
Generators |
[91:684:1] |
Generators of the group modulo torsion |
j |
17434421857/7953552 |
j-invariant |
L |
4.2360755758213 |
L(r)(E,1)/r! |
Ω |
0.74033190661932 |
Real period |
R |
1.4304650177278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016v1 15504u1 |
Quadratic twists by: -4 8 |