Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336bv |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1618423170365232 = -1 · 24 · 39 · 76 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9750,1970701] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:1463:1] |
Generators of the group modulo torsion |
j |
-8788000000000/138753701163 |
j-invariant |
L |
6.4385200165855 |
L(r)(E,1)/r! |
Ω |
0.40080361743218 |
Real period |
R |
0.66933444610169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112j1 |
Quadratic twists by: -3 |