Atkin-Lehner |
2+ 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950j |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
217235520000000 = 212 · 34 · 57 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17025,-484875] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:285:1] [-94:591:1] |
Generators of the group modulo torsion |
j |
34930508298769/13903073280 |
j-invariant |
L |
5.9803225304858 |
L(r)(E,1)/r! |
Ω |
0.43254109144695 |
Real period |
R |
3.4565054330191 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790u1 |
Quadratic twists by: 5 |