Atkin-Lehner |
2- 3- 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114390bl |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
-116833733230781250 = -1 · 2 · 315 · 57 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 0 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-304088,66680781] |
[a1,a2,a3,a4,a6] |
Generators |
[2614:10353:8] |
Generators of the group modulo torsion |
j |
-4265723402942585401/160265752031250 |
j-invariant |
L |
9.2860666618373 |
L(r)(E,1)/r! |
Ω |
0.32985241968099 |
Real period |
R |
3.5190232442474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38130h1 |
Quadratic twists by: -3 |