Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
11774d |
Isogeny class |
Conductor |
11774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1223742464 = -1 · 210 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -5 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4503543,3676698901] |
[a1,a2,a3,a4,a6] |
Generators |
[1278:2609:1] |
Generators of the group modulo torsion |
j |
-414183515883649725221/50176 |
j-invariant |
L |
2.1713219791519 |
L(r)(E,1)/r! |
Ω |
0.60450476246489 |
Real period |
R |
0.44898777354091 |
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 |
94192w2 105966ch2 82418f2 11774m2 |
Quadratic twists by: -4 -3 -7 29 |