Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560h |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-3571409515520 = -1 · 210 · 5 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14520,684412] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-196:1] |
Generators of the group modulo torsion |
j |
-57354724/605 |
j-invariant |
L |
4.3208273867335 |
L(r)(E,1)/r! |
Ω |
0.79325883847341 |
Real period |
R |
0.45391104571541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43120n1 107800bl1 21560f1 |
Quadratic twists by: -4 5 -7 |