Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200df |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-78664499200000000 = -1 · 222 · 58 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3259208,-2263683088] |
[a1,a2,a3,a4,a6] |
Generators |
[838892714788935182:34409825955785706450:278329962437171] |
Generators of the group modulo torsion |
j |
-2392985657939305/49165312 |
j-invariant |
L |
9.3178000416605 |
L(r)(E,1)/r! |
Ω |
0.056181197654622 |
Real period |
R |
27.642106940423 |
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 |
6650q1 53200ck1 |
Quadratic twists by: -4 5 |