Atkin-Lehner |
2+ 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67184h |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
179485549568 = 210 · 134 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 0 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1595,13626] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:52:1] [5:76:1] |
Generators of the group modulo torsion |
j |
438233746500/175278857 |
j-invariant |
L |
9.7534445763398 |
L(r)(E,1)/r! |
Ω |
0.92034508475199 |
Real period |
R |
1.3246993896538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33592c1 |
Quadratic twists by: -4 |