Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694p |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3494400 |
Modular degree for the optimal curve |
Δ |
-3.5168360785705E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 11- 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71997,285388173] |
[a1,a2,a3,a4,a6] |
j |
-169/144 |
j-invariant |
L |
1.3338976319381 |
L(r)(E,1)/r! |
Ω |
0.16673723516382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1014d1 122694cj1 |
Quadratic twists by: -11 13 |