Atkin-Lehner |
2- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29602d |
Isogeny class |
Conductor |
29602 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
136800 |
Modular degree for the optimal curve |
Δ |
-1084876039932998 = -1 · 2 · 199 · 412 |
Discriminant |
Eigenvalues |
2- 1 0 1 4 -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-119318,15932810] |
[a1,a2,a3,a4,a6] |
Generators |
[99618:1610069:216] |
Generators of the group modulo torsion |
j |
-582182875/3362 |
j-invariant |
L |
10.282897184653 |
L(r)(E,1)/r! |
Ω |
0.49313611562741 |
Real period |
R |
5.2130116101772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29602b1 |
Quadratic twists by: -19 |