Atkin-Lehner |
3+ 5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
99975a |
Isogeny class |
Conductor |
99975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-1757373046875 = -1 · 33 · 511 · 31 · 43 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 -5 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8383,305043] |
[a1,a2,a3,a4,a6] |
Generators |
[27:312:1] [33:251:1] |
Generators of the group modulo torsion |
j |
-4170171252736/112471875 |
j-invariant |
L |
7.2482880515191 |
L(r)(E,1)/r! |
Ω |
0.83567113892503 |
Real period |
R |
2.1684032492474 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19995h1 |
Quadratic twists by: 5 |