Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
7200m |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-18139852800 = -1 · 212 · 311 · 52 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 0 -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6600,-206480] |
[a1,a2,a3,a4,a6] |
j |
-425920000/243 |
j-invariant |
L |
1.0593237399773 |
L(r)(E,1)/r! |
Ω |
0.26483093499434 |
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 |
7200bm1 14400bm1 2400bc1 7200bw1 |
Quadratic twists by: -4 8 -3 5 |