Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20825m |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-8.0425448091748E+19 |
Discriminant |
Eigenvalues |
-2 2 5+ 7- 6 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,531242,404741168] |
[a1,a2,a3,a4,a6] |
j |
9019694698496/43750721875 |
j-invariant |
L |
2.2142791907718 |
L(r)(E,1)/r! |
Ω |
0.13839244942324 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4165o1 2975b1 |
Quadratic twists by: 5 -7 |