Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
49800bk |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-74700000000 = -1 · 28 · 32 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 5 -2 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,292,-12912] |
[a1,a2,a3,a4,a6] |
Generators |
[58:450:1] |
Generators of the group modulo torsion |
j |
27440/747 |
j-invariant |
L |
9.4504434489709 |
L(r)(E,1)/r! |
Ω |
0.52690741238272 |
Real period |
R |
0.74732005621419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600n1 49800f1 |
Quadratic twists by: -4 5 |