Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576bj |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-7617494016 = -1 · 210 · 35 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 11- 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-665,-8049] |
[a1,a2,a3,a4,a6] |
Generators |
[34:99:1] |
Generators of the group modulo torsion |
j |
-31808383744/7438959 |
j-invariant |
L |
6.9026069666517 |
L(r)(E,1)/r! |
Ω |
0.46425682207029 |
Real period |
R |
0.99120524654041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576cd1 3036a1 |
Quadratic twists by: -4 8 |