Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825cb |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-1278533935546875 = -1 · 32 · 516 · 72 · 19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -1 4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9158,-1756156] |
[a1,a2,a3,a4,a6] |
j |
-110957572096/1669921875 |
j-invariant |
L |
1.6587644958222 |
L(r)(E,1)/r! |
Ω |
0.2073455663998 |
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 |
13965d1 69825c1 |
Quadratic twists by: 5 -7 |