Atkin-Lehner |
2- 3+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53592n |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-69600748428288 = -1 · 210 · 33 · 72 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11+ -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9240,-213444] |
[a1,a2,a3,a4,a6] |
j |
85190794143836/67969480887 |
j-invariant |
L |
0.685015907494 |
L(r)(E,1)/r! |
Ω |
0.34250795425728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184bd1 |
Quadratic twists by: -4 |