Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450eb |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-53878130380800 = -1 · 212 · 33 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9415,30297] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1868:1] |
Generators of the group modulo torsion |
j |
77191245/45056 |
j-invariant |
L |
9.6116881160258 |
L(r)(E,1)/r! |
Ω |
0.38081464497478 |
Real period |
R |
0.26291465554013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450i2 54450t1 4950a1 |
Quadratic twists by: -3 5 -11 |