Atkin-Lehner |
11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29887c |
Isogeny class |
Conductor |
29887 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
315648 |
Modular degree for the optimal curve |
Δ |
-391951269864011 = -1 · 113 · 138 · 192 |
Discriminant |
Eigenvalues |
-2 1 -3 -2 11+ 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-560292,161240800] |
[a1,a2,a3,a4,a6] |
Generators |
[-5686:113395:8] [469:-1359:1] |
Generators of the group modulo torsion |
j |
-14614692983201558528/294478790281 |
j-invariant |
L |
4.1151027136463 |
L(r)(E,1)/r! |
Ω |
0.49213209619838 |
Real period |
R |
0.26130577703599 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29887a1 |
Quadratic twists by: -11 |