Atkin-Lehner |
2+ 7+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
70448d |
Isogeny class |
Conductor |
70448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-46007616256 = -1 · 28 · 75 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ 2 -3 7+ 1 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,-10339] |
[a1,a2,a3,a4,a6] |
Generators |
[10340:131019:64] |
Generators of the group modulo torsion |
j |
106314752/179717251 |
j-invariant |
L |
6.8802328104954 |
L(r)(E,1)/r! |
Ω |
0.52755437043183 |
Real period |
R |
6.5208755690332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35224a1 |
Quadratic twists by: -4 |