Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20475k |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
27986765625 = 39 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1055,-10178] |
[a1,a2,a3,a4,a6] |
Generators |
[38:40:1] |
Generators of the group modulo torsion |
j |
421875/91 |
j-invariant |
L |
3.4178383719347 |
L(r)(E,1)/r! |
Ω |
0.85058378777687 |
Real period |
R |
4.0182265651545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20475i1 819a1 |
Quadratic twists by: -3 5 |