Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
20874s |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51072 |
Modular degree for the optimal curve |
Δ |
2888026945776 = 24 · 32 · 710 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3652,-23278] |
[a1,a2,a3,a4,a6] |
j |
19061833/10224 |
j-invariant |
L |
2.6137840027919 |
L(r)(E,1)/r! |
Ω |
0.65344600069798 |
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 |
62622cg1 20874c1 |
Quadratic twists by: -3 -7 |