Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390ct |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
20300958720 = 210 · 37 · 5 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1261,-15919] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:47:1] |
Generators of the group modulo torsion |
j |
4525790192161/414305280 |
j-invariant |
L |
9.9379494807289 |
L(r)(E,1)/r! |
Ω |
0.80585343846283 |
Real period |
R |
0.17617435142655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54390bu1 |
Quadratic twists by: -7 |