Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304fr |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-14208053723136 = -1 · 214 · 34 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -2 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4443,139581] |
[a1,a2,a3,a4,a6] |
Generators |
[12:441:1] |
Generators of the group modulo torsion |
j |
5030912/7371 |
j-invariant |
L |
2.8074982566631 |
L(r)(E,1)/r! |
Ω |
0.4773613579628 |
Real period |
R |
1.4703212904521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999474828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304ds1 30576be1 17472cv1 |
Quadratic twists by: -4 8 -7 |