Atkin-Lehner |
3- 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114513k |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
132608 |
Modular degree for the optimal curve |
Δ |
-5375463634863 = -1 · 32 · 79 · 192 · 41 |
Discriminant |
Eigenvalues |
1 3- 0 7- 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,464,111521] |
[a1,a2,a3,a4,a6] |
Generators |
[2659:135794:1] |
Generators of the group modulo torsion |
j |
274625/133209 |
j-invariant |
L |
8.7268228504192 |
L(r)(E,1)/r! |
Ω |
0.59384004306514 |
Real period |
R |
7.3477891277878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114513e1 |
Quadratic twists by: -7 |