Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694n |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44706816 |
Modular degree for the optimal curve |
Δ |
1.5126629214268E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 11+ 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40765507,80821075405] |
[a1,a2,a3,a4,a6] |
Generators |
[1525785:842880967:3375] |
Generators of the group modulo torsion |
j |
658275956099/132907008 |
j-invariant |
L |
1.8648789690991 |
L(r)(E,1)/r! |
Ω |
0.08036523986553 |
Real period |
R |
11.602522840674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995003809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122694cd1 9438t1 |
Quadratic twists by: -11 13 |