Atkin-Lehner |
2+ 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150dp |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-11587455000 = -1 · 23 · 36 · 54 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-74367,-7787259] |
[a1,a2,a3,a4,a6] |
Generators |
[28710:1700253:8] |
Generators of the group modulo torsion |
j |
-99829808490625/25432 |
j-invariant |
L |
4.9240849599727 |
L(r)(E,1)/r! |
Ω |
0.14455203601388 |
Real period |
R |
8.5161113886311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350bh1 84150fo1 |
Quadratic twists by: -3 5 |