Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830d |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
581089272667200 = 26 · 33 · 52 · 115 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-249330,-47842924] |
[a1,a2,a3,a4,a6] |
Generators |
[-292:166:1] |
Generators of the group modulo torsion |
j |
63486961018176728187/21521824913600 |
j-invariant |
L |
2.2070009646381 |
L(r)(E,1)/r! |
Ω |
0.21365579372217 |
Real period |
R |
2.5824258333804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16830bv1 84150ea1 |
Quadratic twists by: -3 5 |