Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
60384bb |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-31743627264 = -1 · 212 · 32 · 17 · 373 |
Discriminant |
Eigenvalues |
2- 3- -1 3 1 -2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2401,-46897] |
[a1,a2,a3,a4,a6] |
Generators |
[58:111:1] |
Generators of the group modulo torsion |
j |
-373870425664/7749909 |
j-invariant |
L |
8.4012038323329 |
L(r)(E,1)/r! |
Ω |
0.34058322352768 |
Real period |
R |
2.0555924983247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60384w1 120768cp1 |
Quadratic twists by: -4 8 |