Atkin-Lehner |
3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573d |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-2343033 = -1 · 33 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 11+ -1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,33,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] [38:101:8] |
Generators of the group modulo torsion |
j |
421875/253 |
j-invariant |
L |
13.711694503324 |
L(r)(E,1)/r! |
Ω |
1.5070698323272 |
Real period |
R |
2.2745619027751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111573m1 111573c1 |
Quadratic twists by: -3 -7 |