Atkin-Lehner |
2+ 3+ 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
49128a |
Isogeny class |
Conductor |
49128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
-6681541922928 = -1 · 24 · 36 · 235 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 6 -4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22004,-1255155] |
[a1,a2,a3,a4,a6] |
j |
-73642474870834432/417596370183 |
j-invariant |
L |
0.78370977091245 |
L(r)(E,1)/r! |
Ω |
0.19592744286987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98256h1 |
Quadratic twists by: -4 |