Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600eo |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
16711680000 = 219 · 3 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 3 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1768033,-905454337] |
[a1,a2,a3,a4,a6] |
Generators |
[-45558123:6560:59319] |
Generators of the group modulo torsion |
j |
3730569358698025/102 |
j-invariant |
L |
8.3616894472259 |
L(r)(E,1)/r! |
Ω |
0.13092631438051 |
Real period |
R |
5.3221344961359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600hd1 2550f1 81600bf2 |
Quadratic twists by: -4 8 5 |