Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830m |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
38183062500 = 22 · 33 · 56 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1164,12348] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:44:1] |
Generators of the group modulo torsion |
j |
6462919457883/1414187500 |
j-invariant |
L |
3.376876762001 |
L(r)(E,1)/r! |
Ω |
1.0879615916485 |
Real period |
R |
1.5519282978015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
16830bk3 84150el1 |
Quadratic twists by: -3 5 |