Atkin-Lehner |
2+ 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
49450i |
Isogeny class |
Conductor |
49450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-3.1932434082031E+21 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 1 -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3050750,-3406887500] |
[a1,a2,a3,a4,a6] |
Generators |
[5768100:176803450:2197] |
Generators of the group modulo torsion |
j |
-200966545996338417121/204367578125000000 |
j-invariant |
L |
3.938398804806 |
L(r)(E,1)/r! |
Ω |
0.05487657424119 |
Real period |
R |
2.9903461079475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9890j1 |
Quadratic twists by: 5 |