Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bi |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
6.0163035335865E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2718025,-1685034875] |
[a1,a2,a3,a4,a6] |
Generators |
[-870:5135:1] |
Generators of the group modulo torsion |
j |
80224711835689/2173469760 |
j-invariant |
L |
3.4396714161249 |
L(r)(E,1)/r! |
Ω |
0.11777539308237 |
Real period |
R |
3.6506684313247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000407084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410cm1 11550bo1 |
Quadratic twists by: 5 -11 |