Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10200q |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-153344556000000 = -1 · 28 · 33 · 56 · 175 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -1 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12767,-211837] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1734:1] |
Generators of the group modulo torsion |
j |
57530252288/38336139 |
j-invariant |
L |
5.2722808679663 |
L(r)(E,1)/r! |
Ω |
0.32841516853035 |
Real period |
R |
0.2675617822181 |
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 |
20400e1 81600u1 30600bw1 408c1 |
Quadratic twists by: -4 8 -3 5 |