Atkin-Lehner |
2- 3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578bq |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
50223726 = 2 · 36 · 72 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-529646,-148230817] |
[a1,a2,a3,a4,a6] |
j |
22539927008317185433/68894 |
j-invariant |
L |
6.3709719383782 |
L(r)(E,1)/r! |
Ω |
0.17697144400783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842d1 |
Quadratic twists by: -3 |