Atkin-Lehner |
2+ 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60384s |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-60310573056 = -1 · 212 · 34 · 173 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 3 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1377,-23409] |
[a1,a2,a3,a4,a6] |
Generators |
[51:204:1] |
Generators of the group modulo torsion |
j |
-70547387968/14724261 |
j-invariant |
L |
6.9125252801456 |
L(r)(E,1)/r! |
Ω |
0.38750185754957 |
Real period |
R |
0.37163936258274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60384j1 120768cw1 |
Quadratic twists by: -4 8 |