Atkin-Lehner |
2+ 3+ 7+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88578b |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
19668012891408 = 24 · 39 · 74 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 6 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12867,-516475] |
[a1,a2,a3,a4,a6] |
j |
11969701171875/999238576 |
j-invariant |
L |
1.8025569415987 |
L(r)(E,1)/r! |
Ω |
0.45063923496472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88578x1 |
Quadratic twists by: -3 |