Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122247p |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-194901203781 = -1 · 315 · 172 · 47 |
Discriminant |
Eigenvalues |
1 3- 1 -4 0 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2349,-48114] |
[a1,a2,a3,a4,a6] |
Generators |
[106:888:1] |
Generators of the group modulo torsion |
j |
-6805364401/925101 |
j-invariant |
L |
6.6705866676365 |
L(r)(E,1)/r! |
Ω |
0.34030512879175 |
Real period |
R |
4.9004453556478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998741848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40749l1 122247v1 |
Quadratic twists by: -3 17 |