Atkin-Lehner |
2+ 3+ 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63240h |
Isogeny class |
Conductor |
63240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
99072 |
Modular degree for the optimal curve |
Δ |
-49175424000 = -1 · 210 · 36 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 3 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3040,-64388] |
[a1,a2,a3,a4,a6] |
j |
-3035200314244/48022875 |
j-invariant |
L |
3.8540051347445 |
L(r)(E,1)/r! |
Ω |
0.32116709460989 |
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 |
126480q1 |
Quadratic twists by: -4 |