Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800bg |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2995200 |
Modular degree for the optimal curve |
Δ |
-2357947691000000000 = -1 · 29 · 59 · 119 |
Discriminant |
Eigenvalues |
2+ 3 5- 3 11- 4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-347875,108143750] |
[a1,a2,a3,a4,a6] |
Generators |
[12243:178354:27] |
Generators of the group modulo torsion |
j |
-2628072/1331 |
j-invariant |
L |
14.529268397304 |
L(r)(E,1)/r! |
Ω |
0.24081104173121 |
Real period |
R |
3.7709204181852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800bh1 96800co1 8800bb1 |
Quadratic twists by: -4 5 -11 |