Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360cy |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
1548976623766732800 = 224 · 32 · 52 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-467120,-107150400] |
[a1,a2,a3,a4,a6] |
Generators |
[-470:2890:1] |
Generators of the group modulo torsion |
j |
114013572049/15667200 |
j-invariant |
L |
3.6733767411211 |
L(r)(E,1)/r! |
Ω |
0.18428199569369 |
Real period |
R |
1.245840894234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670bb1 4080bb1 |
Quadratic twists by: -4 17 |