Atkin-Lehner |
2- 3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410y |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
20643840 |
Modular degree for the optimal curve |
Δ |
1.6780807484089E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-395688308,3029006471127] |
[a1,a2,a3,a4,a6] |
Generators |
[11333:-17907:1] |
Generators of the group modulo torsion |
j |
9398441356155937658581065721/2301894030739164364800 |
j-invariant |
L |
10.183779765723 |
L(r)(E,1)/r! |
Ω |
0.082009369679602 |
Real period |
R |
3.1044561754083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19470i1 |
Quadratic twists by: -3 |