Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680ef |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
3886080 |
Modular degree for the optimal curve |
Δ |
-1672918363775877120 = -1 · 214 · 311 · 5 · 75 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2071301,-1148391075] |
[a1,a2,a3,a4,a6] |
j |
-59983751935638946816/102106833726555 |
j-invariant |
L |
0.94374636958088 |
L(r)(E,1)/r! |
Ω |
0.062916481741968 |
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 |
127680by1 31920o1 |
Quadratic twists by: -4 8 |