Atkin-Lehner |
2+ 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9752a |
Isogeny class |
Conductor |
9752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3120 |
Modular degree for the optimal curve |
Δ |
-54786736 = -1 · 24 · 23 · 533 |
Discriminant |
Eigenvalues |
2+ 2 1 -4 4 -5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,45,-352] |
[a1,a2,a3,a4,a6] |
Generators |
[23:111:1] |
Generators of the group modulo torsion |
j |
615962624/3424171 |
j-invariant |
L |
5.9156466941536 |
L(r)(E,1)/r! |
Ω |
0.99755690256577 |
Real period |
R |
2.9650672953785 |
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 |
19504d1 78016b1 87768m1 |
Quadratic twists by: -4 8 -3 |