Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bq |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
149022720 |
Modular degree for the optimal curve |
Δ |
-4.5425636242034E+29 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,962574902,30321843093719] |
[a1,a2,a3,a4,a6] |
j |
8666286316805125/39912298463232 |
j-invariant |
L |
0.59537529507768 |
L(r)(E,1)/r! |
Ω |
0.021263407354681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122694a1 9438a1 |
Quadratic twists by: -11 13 |