Atkin-Lehner |
5+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
52325a |
Isogeny class |
Conductor |
52325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
218112 |
Modular degree for the optimal curve |
Δ |
20439453125 = 510 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
-2 2 5+ 7+ -5 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-67408,-6713782] |
[a1,a2,a3,a4,a6] |
Generators |
[-199188:-478:1331] |
Generators of the group modulo torsion |
j |
2167926001537024/1308125 |
j-invariant |
L |
3.1846756378703 |
L(r)(E,1)/r! |
Ω |
0.29629285112115 |
Real period |
R |
5.3742026273037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10465c1 |
Quadratic twists by: 5 |