Atkin-Lehner |
2- 3- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010br |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
624000 |
Modular degree for the optimal curve |
Δ |
-68151352320000 = -1 · 213 · 36 · 54 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 4 -3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1016393,394657481] |
[a1,a2,a3,a4,a6] |
Generators |
[655:2772:1] |
Generators of the group modulo torsion |
j |
-159287163738148171081/93486080000 |
j-invariant |
L |
9.2448799615002 |
L(r)(E,1)/r! |
Ω |
0.50867353940451 |
Real period |
R |
0.34950934014393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5890c1 |
Quadratic twists by: -3 |