Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350dh |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30240000 |
Modular degree for the optimal curve |
Δ |
5889134508410216000 = 26 · 53 · 77 · 197 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-588399503,-5493839157419] |
[a1,a2,a3,a4,a6] |
j |
3830972064521089212269/1001428288 |
j-invariant |
L |
4.598037330765 |
L(r)(E,1)/r! |
Ω |
0.030653599604593 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126350bx1 6650j1 |
Quadratic twists by: 5 -19 |