Atkin-Lehner |
2+ 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450f |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-347997012480000000 = -1 · 215 · 33 · 57 · 132 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 3 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-181025,-41116875] |
[a1,a2,a3,a4,a6] |
j |
-41987798382421009/22271808798720 |
j-invariant |
L |
1.3550252578255 |
L(r)(E,1)/r! |
Ω |
0.11291877147934 |
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 |
12090bb1 |
Quadratic twists by: 5 |