Atkin-Lehner |
2- 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122786h |
Isogeny class |
Conductor |
122786 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-15716608 = -1 · 28 · 292 · 73 |
Discriminant |
Eigenvalues |
2- -2 0 1 1 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3,-191] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1:1] |
Generators of the group modulo torsion |
j |
-3625/18688 |
j-invariant |
L |
8.2581848485635 |
L(r)(E,1)/r! |
Ω |
1.0027996361792 |
Real period |
R |
1.0293911943389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999118579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122786e1 |
Quadratic twists by: 29 |