Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200ca |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-8075000000000000 = -1 · 212 · 514 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 2 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-122133,17028637] |
[a1,a2,a3,a4,a6] |
Generators |
[161388:648575:729] |
Generators of the group modulo torsion |
j |
-3148084412416/126171875 |
j-invariant |
L |
6.6599239318943 |
L(r)(E,1)/r! |
Ω |
0.41173573954735 |
Real period |
R |
8.0876195934071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997942261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8075e1 25840z1 |
Quadratic twists by: -4 5 |