Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600gm |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-255688704000000000 = -1 · 224 · 33 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39967,24119937] |
[a1,a2,a3,a4,a6] |
Generators |
[247:7000:1] |
Generators of the group modulo torsion |
j |
1723683599/62424000 |
j-invariant |
L |
5.2655019102973 |
L(r)(E,1)/r! |
Ω |
0.23507766182612 |
Real period |
R |
2.7998735950797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600dy1 20400dl1 16320cl1 |
Quadratic twists by: -4 8 5 |