Atkin-Lehner |
2- 3- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
29784n |
Isogeny class |
Conductor |
29784 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
373728 |
Modular degree for the optimal curve |
Δ |
-218634552173083392 = -1 · 28 · 317 · 17 · 733 |
Discriminant |
Eigenvalues |
2- 3- 2 5 4 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,140943,-9508797] |
[a1,a2,a3,a4,a6] |
j |
1209514834768120832/854041219426107 |
j-invariant |
L |
6.0424553036401 |
L(r)(E,1)/r! |
Ω |
0.17771927363648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59568f1 89352e1 |
Quadratic twists by: -4 -3 |