Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67155s |
Isogeny class |
Conductor |
67155 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-117567333656449875 = -1 · 315 · 53 · 116 · 37 |
Discriminant |
Eigenvalues |
0 3- 5- -2 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-291045,62549174] |
[a1,a2,a3,a4,a6] |
Generators |
[546:8167:1] |
Generators of the group modulo torsion |
j |
-1539038632738816/66363694875 |
j-invariant |
L |
5.2909350317391 |
L(r)(E,1)/r! |
Ω |
0.32901412261798 |
Real period |
R |
0.17867976775753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
555b1 |
Quadratic twists by: -11 |