Atkin-Lehner |
11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29887g |
Isogeny class |
Conductor |
29887 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
4813331237 = 117 · 13 · 19 |
Discriminant |
Eigenvalues |
-2 0 -2 -3 11- 13+ -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-63041,-6092320] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:0:1] |
Generators of the group modulo torsion |
j |
15640004800512/2717 |
j-invariant |
L |
1.1105922088396 |
L(r)(E,1)/r! |
Ω |
0.30129629122289 |
Real period |
R |
1.8430233646953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2717b1 |
Quadratic twists by: -11 |