Atkin-Lehner |
2- 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350ds |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
138 |
Product of Tamagawa factors cp |
deg |
291456 |
Modular degree for the optimal curve |
Δ |
28736225280000 = 223 · 33 · 54 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15530,702697] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-265:1] |
Generators of the group modulo torsion |
j |
24545285075475/1702887424 |
j-invariant |
L |
8.7851749430001 |
L(r)(E,1)/r! |
Ω |
0.6509461085608 |
Real period |
R |
0.097797171157966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350x1 91350k1 |
Quadratic twists by: -3 5 |