Atkin-Lehner |
2- 7+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
56392h |
Isogeny class |
Conductor |
56392 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-800579516912 = -1 · 24 · 72 · 193 · 533 |
Discriminant |
Eigenvalues |
2- -3 2 7+ -1 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35719,2598703] |
[a1,a2,a3,a4,a6] |
Generators |
[109:-19:1] [394:7049:1] |
Generators of the group modulo torsion |
j |
-314993509170916608/50036219807 |
j-invariant |
L |
6.7597171300609 |
L(r)(E,1)/r! |
Ω |
0.86527832671622 |
Real period |
R |
0.21700522766134 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112784g1 |
Quadratic twists by: -4 |