Atkin-Lehner |
5+ 11+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
120175b |
Isogeny class |
Conductor |
120175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
956160 |
Modular degree for the optimal curve |
Δ |
-124165185546875 = -1 · 511 · 11 · 19 · 233 |
Discriminant |
Eigenvalues |
-2 -1 5+ 2 11+ -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-272658,54892968] |
[a1,a2,a3,a4,a6] |
Generators |
[312:312:1] |
Generators of the group modulo torsion |
j |
-143469641527128064/7946571875 |
j-invariant |
L |
1.7110675691808 |
L(r)(E,1)/r! |
Ω |
0.5556000910227 |
Real period |
R |
0.76991871397613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996430293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24035a1 |
Quadratic twists by: 5 |