Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598bd |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-51084573696 = -1 · 210 · 33 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 3 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,548,9917] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:57:1] |
Generators of the group modulo torsion |
j |
21638136647/60742656 |
j-invariant |
L |
7.8796510570201 |
L(r)(E,1)/r! |
Ω |
0.79048149178351 |
Real period |
R |
0.33227221380748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65598q1 |
Quadratic twists by: 29 |