Atkin-Lehner |
5- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54145y |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
81251340625 = 55 · 76 · 13 · 17 |
Discriminant |
Eigenvalues |
-1 0 5- 7- -4 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-704997,228015596] |
[a1,a2,a3,a4,a6] |
Generators |
[44:14016:1] [486:-281:1] |
Generators of the group modulo torsion |
j |
329379602649536529/690625 |
j-invariant |
L |
6.5072533802789 |
L(r)(E,1)/r! |
Ω |
0.70513776616036 |
Real period |
R |
3.6913373201995 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1105a1 |
Quadratic twists by: -7 |