Atkin-Lehner |
2+ 3- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54672g |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-163816556544 = -1 · 211 · 35 · 173 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 0 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2856,60948] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:306:1] |
Generators of the group modulo torsion |
j |
-1258404968018/79988553 |
j-invariant |
L |
6.7413525946573 |
L(r)(E,1)/r! |
Ω |
1.0054179722166 |
Real period |
R |
0.22350083185677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27336d1 |
Quadratic twists by: -4 |