Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82418p |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1959450328985212 = -1 · 22 · 77 · 296 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21463,-2451387] |
[a1,a2,a3,a4,a6] |
Generators |
[107238820:12361786901:8000] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
7.5830545166441 |
L(r)(E,1)/r! |
Ω |
0.18606249421418 |
Real period |
R |
10.188854214149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11774k1 98a1 |
Quadratic twists by: -7 29 |