Atkin-Lehner |
2- 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55692m |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-2164438838016 = -1 · 28 · 38 · 73 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 2 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,456,-70684] |
[a1,a2,a3,a4,a6] |
Generators |
[52:306:1] |
Generators of the group modulo torsion |
j |
56188928/11597859 |
j-invariant |
L |
4.4982397096834 |
L(r)(E,1)/r! |
Ω |
0.38793935534192 |
Real period |
R |
0.96626780441637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564c1 |
Quadratic twists by: -3 |