Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800bf |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
8299975872320000 = 29 · 54 · 1110 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122008,15766188] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3986:1] |
Generators of the group modulo torsion |
j |
24200 |
j-invariant |
L |
2.3876480566247 |
L(r)(E,1)/r! |
Ω |
0.41014294056684 |
Real period |
R |
5.8215022845922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999627475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800be1 96800by1 96800cm1 |
Quadratic twists by: -4 5 -11 |