Atkin-Lehner |
2+ 3- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528g |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-69314287314870192 = -1 · 24 · 3 · 712 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,65113,-10912308] |
[a1,a2,a3,a4,a6] |
Generators |
[113594205243264676692:-44204862848482443443840:750123094947381] |
Generators of the group modulo torsion |
j |
1908095800666744832/4332142957179387 |
j-invariant |
L |
9.8724512278497 |
L(r)(E,1)/r! |
Ω |
0.17980621774447 |
Real period |
R |
27.453030701056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54264d1 |
Quadratic twists by: -4 |