Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960bm |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-205395750000 = -1 · 24 · 36 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 3 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1437,5987] |
[a1,a2,a3,a4,a6] |
Generators |
[86:875:1] |
Generators of the group modulo torsion |
j |
28134973184/17609375 |
j-invariant |
L |
6.4554121659724 |
L(r)(E,1)/r! |
Ω |
0.62105390193159 |
Real period |
R |
1.2992858079272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115920ba1 6440d1 |
Quadratic twists by: -4 -3 |