Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150fo |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
-181053984375000 = -1 · 23 · 36 · 510 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1859180,-975266553] |
[a1,a2,a3,a4,a6] |
j |
-99829808490625/25432 |
j-invariant |
L |
3.1029903905308 |
L(r)(E,1)/r! |
Ω |
0.064645635762606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350d1 84150dp1 |
Quadratic twists by: -3 5 |