Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62160da |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-125314560000 = -1 · 212 · 33 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-600,17748] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-120:1] |
Generators of the group modulo torsion |
j |
-5841725401/30594375 |
j-invariant |
L |
7.8056711017097 |
L(r)(E,1)/r! |
Ω |
0.9044204568785 |
Real period |
R |
0.35960740761512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3885d1 |
Quadratic twists by: -4 |