Atkin-Lehner |
2- 3+ 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010bf |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-131242732946460 = -1 · 22 · 39 · 5 · 192 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16283,-967193] |
[a1,a2,a3,a4,a6] |
Generators |
[2366471120:31114389697:8998912] |
Generators of the group modulo torsion |
j |
-24255525234123/6667821620 |
j-invariant |
L |
9.6638888989411 |
L(r)(E,1)/r! |
Ω |
0.20833920436481 |
Real period |
R |
11.59633988281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010e1 |
Quadratic twists by: -3 |