Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93654p |
Isogeny class |
Conductor |
93654 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380800 |
Modular degree for the optimal curve |
Δ |
-53978195232324 = -1 · 22 · 311 · 116 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 11- 3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15813,847017] |
[a1,a2,a3,a4,a6] |
Generators |
[72:243:1] |
Generators of the group modulo torsion |
j |
-338608873/41796 |
j-invariant |
L |
7.4934321464603 |
L(r)(E,1)/r! |
Ω |
0.61137352922431 |
Real period |
R |
3.0641791755102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31218q1 774i1 |
Quadratic twists by: -3 -11 |