Atkin-Lehner |
2+ 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
60384c |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-78257664 = -1 · 29 · 35 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 0 7 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1096,14344] |
[a1,a2,a3,a4,a6] |
j |
-284630612552/152847 |
j-invariant |
L |
1.9064130237698 |
L(r)(E,1)/r! |
Ω |
1.9064130275449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60384o1 120768da1 |
Quadratic twists by: -4 8 |