Atkin-Lehner |
2+ 5- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56240d |
Isogeny class |
Conductor |
56240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
278511615520000 = 28 · 54 · 196 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 3 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-140545,-20217475] |
[a1,a2,a3,a4,a6] |
j |
1199314367419319296/1087935998125 |
j-invariant |
L |
1.9726911028207 |
L(r)(E,1)/r! |
Ω |
0.24658638767344 |
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 |
28120b1 |
Quadratic twists by: -4 |