Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55176b |
Isogeny class |
Conductor |
55176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
194304 |
Modular degree for the optimal curve |
Δ |
-75070194997248 = -1 · 211 · 32 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -5 11- 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15528,-848340] |
[a1,a2,a3,a4,a6] |
Generators |
[1569:61926:1] |
Generators of the group modulo torsion |
j |
-943250/171 |
j-invariant |
L |
2.9029601069181 |
L(r)(E,1)/r! |
Ω |
0.21175254741039 |
Real period |
R |
6.8546049206561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110352l1 55176h1 |
Quadratic twists by: -4 -11 |