Atkin-Lehner |
2+ 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802n |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2822400 |
Modular degree for the optimal curve |
Δ |
-54043722117995904 = -1 · 27 · 39 · 78 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -1 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21297663,-37825522547] |
[a1,a2,a3,a4,a6] |
Generators |
[75235882557730434142408598782:7104354926456156347313594949145:6710071538174524244038952] |
Generators of the group modulo torsion |
j |
-254218836935368753/12859776 |
j-invariant |
L |
6.2539060360166 |
L(r)(E,1)/r! |
Ω |
0.035138771108287 |
Real period |
R |
44.494342280383 |
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 |
17934q1 53802v1 |
Quadratic twists by: -3 -7 |