Atkin-Lehner |
7- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34447c |
Isogeny class |
Conductor |
34447 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
2945127238150573 = 76 · 192 · 375 |
Discriminant |
Eigenvalues |
0 -3 2 7- 3 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-36064,-362637] |
[a1,a2,a3,a4,a6] |
j |
44091731607552/25033168477 |
j-invariant |
L |
0.74819090147222 |
L(r)(E,1)/r! |
Ω |
0.37409545072341 |
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 |
703a1 |
Quadratic twists by: -7 |