Atkin-Lehner |
3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
92169c |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
202996664801469 = 33 · 77 · 113 · 193 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 11- 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14994,171757] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:-809:1] |
Generators of the group modulo torsion |
j |
117361115136/63905303 |
j-invariant |
L |
4.5631175254153 |
L(r)(E,1)/r! |
Ω |
0.49143739191609 |
Real period |
R |
0.38688528885422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999772305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92169a2 13167d1 |
Quadratic twists by: -3 -7 |