Atkin-Lehner |
3- 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
94809w |
Isogeny class |
Conductor |
94809 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-219719004219 = -1 · 37 · 112 · 132 · 173 |
Discriminant |
Eigenvalues |
-2 3- -1 0 11- 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,594,22052] |
[a1,a2,a3,a4,a6] |
Generators |
[33:280:1] [-12:115:1] |
Generators of the group modulo torsion |
j |
136919404544/1300112451 |
j-invariant |
L |
6.9384854880603 |
L(r)(E,1)/r! |
Ω |
0.73108568241296 |
Real period |
R |
0.22596809019941 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94809r1 |
Quadratic twists by: 13 |