Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984bx |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-152137942510252032 = -1 · 212 · 37 · 198 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -2 5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,102885,13814026] |
[a1,a2,a3,a4,a6] |
Generators |
[1805:77976:1] |
Generators of the group modulo torsion |
j |
2375/3 |
j-invariant |
L |
6.224220335569 |
L(r)(E,1)/r! |
Ω |
0.21808095662704 |
Real period |
R |
1.1892029363374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3249b1 17328ba1 51984ck1 |
Quadratic twists by: -4 -3 -19 |