Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150gb |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-1022422500000 = -1 · 25 · 37 · 57 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37130,2763497] |
[a1,a2,a3,a4,a6] |
Generators |
[99:175:1] |
Generators of the group modulo torsion |
j |
-496981290961/89760 |
j-invariant |
L |
8.6851540772362 |
L(r)(E,1)/r! |
Ω |
0.8499117400917 |
Real period |
R |
0.25547223517747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050z1 16830v1 |
Quadratic twists by: -3 5 |