Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52052c |
Isogeny class |
Conductor |
52052 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
229824 |
Modular degree for the optimal curve |
Δ |
49244032165328 = 24 · 73 · 11 · 138 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-211813,37449192] |
[a1,a2,a3,a4,a6] |
Generators |
[2520980:11575993:8000] |
Generators of the group modulo torsion |
j |
13608288256000/637637 |
j-invariant |
L |
4.2388524959318 |
L(r)(E,1)/r! |
Ω |
0.5977309243524 |
Real period |
R |
7.0915730192572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4004b1 |
Quadratic twists by: 13 |