Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20475j |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
149785822265625 = 33 · 59 · 75 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 6 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3282942,-2288691409] |
[a1,a2,a3,a4,a6] |
Generators |
[19790:539927:8] |
Generators of the group modulo torsion |
j |
9275335480470938787/355047875 |
j-invariant |
L |
6.9133474178354 |
L(r)(E,1)/r! |
Ω |
0.11215890146174 |
Real period |
R |
6.1638865286085 |
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 |
20475l1 4095a1 |
Quadratic twists by: -3 5 |