Atkin-Lehner |
2- 3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394bm |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
119213781925392 = 24 · 33 · 72 · 117 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33943,-2363107] |
[a1,a2,a3,a4,a6] |
Generators |
[213:250:1] |
Generators of the group modulo torsion |
j |
2441288319625/67293072 |
j-invariant |
L |
8.0511511339555 |
L(r)(E,1)/r! |
Ω |
0.35232468512245 |
Real period |
R |
2.856438774382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854d1 |
Quadratic twists by: -11 |