Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121086a |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3958080 |
Modular degree for the optimal curve |
Δ |
-7.5858383913906E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 5 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-620025,-459094671] |
[a1,a2,a3,a4,a6] |
j |
-1144707147/3294172 |
j-invariant |
L |
2.2056844904952 |
L(r)(E,1)/r! |
Ω |
0.078774476234566 |
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 |
121086r1 121086c1 |
Quadratic twists by: -3 -31 |