Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736bd |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
151652906258832 = 24 · 32 · 118 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 11- 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31500,2058219] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1089:1] |
Generators of the group modulo torsion |
j |
1007877376/44217 |
j-invariant |
L |
6.3526220178003 |
L(r)(E,1)/r! |
Ω |
0.5719337167287 |
Real period |
R |
1.8512116159292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999655291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49368g1 98736bk1 |
Quadratic twists by: -4 -11 |