Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600dx |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-47941632000000 = -1 · 217 · 34 · 56 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-333537] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1200:1] |
Generators of the group modulo torsion |
j |
-31250/23409 |
j-invariant |
L |
7.4724610566529 |
L(r)(E,1)/r! |
Ω |
0.28650845076122 |
Real period |
R |
1.6300699503883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983436 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600gj2 10200bc2 3264b2 |
Quadratic twists by: -4 8 5 |