Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ez |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-6958863140625000 = -1 · 23 · 39 · 59 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11+ 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63230,-7302603] |
[a1,a2,a3,a4,a6] |
Generators |
[299:525:1] |
Generators of the group modulo torsion |
j |
-2454365649169/610929000 |
j-invariant |
L |
7.5430321669302 |
L(r)(E,1)/r! |
Ω |
0.14858850845898 |
Real period |
R |
2.1151905352999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050q1 16830bb1 |
Quadratic twists by: -3 5 |