Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bh |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-61201609425 = -1 · 37 · 52 · 113 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 11- 6 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,490,11022] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-169:1] |
Generators of the group modulo torsion |
j |
715278335/3358113 |
j-invariant |
L |
4.6407604962281 |
L(r)(E,1)/r! |
Ω |
0.79521376969245 |
Real period |
R |
0.48632211378889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925b1 71775bw1 |
Quadratic twists by: -3 5 |