Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20475i |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
38390625 = 33 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,416] |
[a1,a2,a3,a4,a6] |
Generators |
[20:66:1] |
Generators of the group modulo torsion |
j |
421875/91 |
j-invariant |
L |
5.9700470405414 |
L(r)(E,1)/r! |
Ω |
1.9351345928463 |
Real period |
R |
3.0850810391232 |
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 |
20475k1 819b1 |
Quadratic twists by: -3 5 |