Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342k |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-9528959107584 = -1 · 29 · 36 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1773,151717] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:433:1] |
Generators of the group modulo torsion |
j |
-7189057/111104 |
j-invariant |
L |
5.1669360044328 |
L(r)(E,1)/r! |
Ω |
0.61510624903203 |
Real period |
R |
2.1000176849787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3038h1 3906l1 |
Quadratic twists by: -3 -7 |