Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248be |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
13407173648 = 24 · 117 · 43 |
Discriminant |
Eigenvalues |
2- 2 2 3 11- 2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2702,54683] |
[a1,a2,a3,a4,a6] |
Generators |
[471:3025:27] |
Generators of the group modulo torsion |
j |
76995328/473 |
j-invariant |
L |
13.334686730463 |
L(r)(E,1)/r! |
Ω |
1.2646390854465 |
Real period |
R |
2.636065672991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20812k1 7568j1 |
Quadratic twists by: -4 -11 |