Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361n |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
45126154780209657 = 39 · 76 · 117 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- 11- -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-90047,1948510] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:3089:1] |
Generators of the group modulo torsion |
j |
19683/11 |
j-invariant |
L |
1.3671581914349 |
L(r)(E,1)/r! |
Ω |
0.31095107295284 |
Real period |
R |
1.0991746856442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998555 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53361m1 1089d1 4851f1 |
Quadratic twists by: -3 -7 -11 |