Atkin-Lehner |
2+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
51304a |
Isogeny class |
Conductor |
51304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
181776331088 = 24 · 118 · 53 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 11- -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1694,-17303] |
[a1,a2,a3,a4,a6] |
Generators |
[264:4235:1] |
Generators of the group modulo torsion |
j |
18966528/6413 |
j-invariant |
L |
4.4525404131376 |
L(r)(E,1)/r! |
Ω |
0.76451421910416 |
Real period |
R |
2.9120062791719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102608c1 4664c1 |
Quadratic twists by: -4 -11 |