Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49010k |
Isogeny class |
Conductor |
49010 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
57408 |
Modular degree for the optimal curve |
Δ |
-5821603840 = -1 · 213 · 5 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 -5 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-643,7427] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:-110:1] [-162:947:8] |
Generators of the group modulo torsion |
j |
-173714698521/34447360 |
j-invariant |
L |
11.107014734795 |
L(r)(E,1)/r! |
Ω |
1.2926917293764 |
Real period |
R |
0.33046770912757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49010e1 |
Quadratic twists by: 13 |