Atkin-Lehner |
2- 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118490m |
Isogeny class |
Conductor |
118490 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
415085239048601600 = 224 · 52 · 176 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-400753,-92497119] |
[a1,a2,a3,a4,a6] |
Generators |
[-429:792:1] [-425:1172:1] |
Generators of the group modulo torsion |
j |
294889639316481/17196646400 |
j-invariant |
L |
14.284987789309 |
L(r)(E,1)/r! |
Ω |
0.19044055436733 |
Real period |
R |
3.1254258134407 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
410b1 |
Quadratic twists by: 17 |