Atkin-Lehner |
2- 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
52668i |
Isogeny class |
Conductor |
52668 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-17699774932224 = -1 · 28 · 39 · 75 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10503,-461106] |
[a1,a2,a3,a4,a6] |
j |
-25429191408/3512663 |
j-invariant |
L |
2.3400256684982 |
L(r)(E,1)/r! |
Ω |
0.23400256695296 |
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 |
52668k1 |
Quadratic twists by: -3 |