Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200dh |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
46964736000000000 = 222 · 32 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 13- 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92008,-2553488] |
[a1,a2,a3,a4,a6] |
Generators |
[-284:768:1] |
Generators of the group modulo torsion |
j |
1345938541921/733824000 |
j-invariant |
L |
5.4082476889695 |
L(r)(E,1)/r! |
Ω |
0.29259148378142 |
Real period |
R |
2.3104943168098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bh1 21840cj1 |
Quadratic twists by: -4 5 |