Atkin-Lehner |
2+ 3+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
64272b |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-20241052416 = -1 · 28 · 310 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 0 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3297,-72099] |
[a1,a2,a3,a4,a6] |
j |
-15487178564608/79066611 |
j-invariant |
L |
0.62983419952334 |
L(r)(E,1)/r! |
Ω |
0.31491709859314 |
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 |
32136d1 |
Quadratic twists by: -4 |