Atkin-Lehner |
3- 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20235m |
Isogeny class |
Conductor |
20235 |
Conductor |
∏ cp |
55 |
Product of Tamagawa factors cp |
deg |
19360 |
Modular degree for the optimal curve |
Δ |
-746785321875 = -1 · 311 · 55 · 19 · 71 |
Discriminant |
Eigenvalues |
0 3- 5- -1 3 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2985,74306] |
[a1,a2,a3,a4,a6] |
Generators |
[30:112:1] |
Generators of the group modulo torsion |
j |
-2942403325198336/746785321875 |
j-invariant |
L |
5.5121790848775 |
L(r)(E,1)/r! |
Ω |
0.85648383234184 |
Real period |
R |
0.11701497929369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60705c1 101175a1 |
Quadratic twists by: -3 5 |