Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192bd |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-34878594207744 = -1 · 212 · 33 · 72 · 235 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 4 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3519,271377] |
[a1,a2,a3,a4,a6] |
Generators |
[464:10079:1] |
Generators of the group modulo torsion |
j |
24005019584/173781261 |
j-invariant |
L |
5.9286735256209 |
L(r)(E,1)/r! |
Ω |
0.47548721118035 |
Real period |
R |
6.2343143860546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108192bz1 108192bo1 |
Quadratic twists by: -4 -7 |