Atkin-Lehner |
2+ 3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17622d |
Isogeny class |
Conductor |
17622 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1233258048 = 26 · 39 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4932,-132080] |
[a1,a2,a3,a4,a6] |
Generators |
[11245:42172:125] |
Generators of the group modulo torsion |
j |
18201824322625/1691712 |
j-invariant |
L |
3.9820327840568 |
L(r)(E,1)/r! |
Ω |
0.56969457273975 |
Real period |
R |
6.9897678064697 |
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 |
5874e1 |
Quadratic twists by: -3 |