Atkin-Lehner |
3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9975g |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-448875 = -1 · 33 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-113,503] |
[a1,a2,a3,a4,a6] |
Generators |
[7:2:1] |
Generators of the group modulo torsion |
j |
-1287913472/3591 |
j-invariant |
L |
2.8733078649559 |
L(r)(E,1)/r! |
Ω |
2.9785308588109 |
Real period |
R |
0.48233642711075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29925bj1 9975q1 69825cf1 |
Quadratic twists by: -3 5 -7 |