Atkin-Lehner |
2+ 3+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926k |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-1.515779374184E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -5 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1759401,2076668037] |
[a1,a2,a3,a4,a6] |
Generators |
[-130616135:14613076061:274625] |
Generators of the group modulo torsion |
j |
-602307957889310585083417/1515779374184046526464 |
j-invariant |
L |
3.8178384523791 |
L(r)(E,1)/r! |
Ω |
0.13337547912948 |
Real period |
R |
14.312370149661 |
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 |
50778bq1 118482bq1 |
Quadratic twists by: -3 -7 |