Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361o |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
233554159102511709 = 33 · 79 · 118 |
Discriminant |
Eigenvalues |
2 3+ 1 7- 11- -4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-195657,23853849] |
[a1,a2,a3,a4,a6] |
Generators |
[-3388:373495:64] |
Generators of the group modulo torsion |
j |
1216512/343 |
j-invariant |
L |
12.796014278016 |
L(r)(E,1)/r! |
Ω |
0.29192519470889 |
Real period |
R |
1.8263831668005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361r1 7623a1 53361q1 |
Quadratic twists by: -3 -7 -11 |