Atkin-Lehner |
2- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
54464r |
Isogeny class |
Conductor |
54464 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
407808 |
Modular degree for the optimal curve |
Δ |
479901560673088 = 26 · 236 · 373 |
Discriminant |
Eigenvalues |
2- -3 2 3 -3 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22174,710158] |
[a1,a2,a3,a4,a6] |
Generators |
[24676:450179:64] |
Generators of the group modulo torsion |
j |
18839781764393472/7498461885517 |
j-invariant |
L |
4.9477419890314 |
L(r)(E,1)/r! |
Ω |
0.4770305573985 |
Real period |
R |
1.728660045052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54464z1 27232c1 |
Quadratic twists by: -4 8 |