Atkin-Lehner |
3+ 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19215d |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
51478426125 = 39 · 53 · 73 · 61 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 1 7 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9477,354935] |
[a1,a2,a3,a4,a6] |
j |
4782390792192/2615375 |
j-invariant |
L |
6.6625682233015 |
L(r)(E,1)/r! |
Ω |
1.1104280372169 |
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 |
19215a1 96075f1 |
Quadratic twists by: -3 5 |