Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810cl |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1937559241845964800 = 216 · 33 · 52 · 72 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4757085,3991009587] |
[a1,a2,a3,a4,a6] |
j |
253060782505556761/41184460800 |
j-invariant |
L |
4.0690617740747 |
L(r)(E,1)/r! |
Ω |
0.25431636031135 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3990p1 |
Quadratic twists by: -19 |