Atkin-Lehner |
2+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49010h |
Isogeny class |
Conductor |
49010 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
-888306250 = -1 · 2 · 55 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 -3 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,87,1406] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:18:1] [-50:221:8] |
Generators of the group modulo torsion |
j |
438077471/5256250 |
j-invariant |
L |
4.8509988990906 |
L(r)(E,1)/r! |
Ω |
1.1644089924022 |
Real period |
R |
0.41660610066953 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49010m1 |
Quadratic twists by: 13 |