Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
37920t |
Isogeny class |
Conductor |
37920 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-136512000 = -1 · 29 · 33 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 -3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80,600] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-30:1] |
Generators of the group modulo torsion |
j |
-111980168/266625 |
j-invariant |
L |
6.6940791681604 |
L(r)(E,1)/r! |
Ω |
1.6327667150065 |
Real period |
R |
0.22776878270603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37920d1 75840g1 113760m1 |
Quadratic twists by: -4 8 -3 |