Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20475b |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
2495390625 = 33 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 2 13+ 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-380,1622] |
[a1,a2,a3,a4,a6] |
Generators |
[4:10:1] |
Generators of the group modulo torsion |
j |
14348907/5915 |
j-invariant |
L |
3.407934272669 |
L(r)(E,1)/r! |
Ω |
1.3106651549715 |
Real period |
R |
1.3000781548751 |
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 |
20475a1 4095c1 |
Quadratic twists by: -3 5 |