Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800bh |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
4 |
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 |
[397650:48218500:27] |
Generators of the group modulo torsion |
j |
-2628072/1331 |
j-invariant |
L |
2.6903896321001 |
L(r)(E,1)/r! |
Ω |
0.095991257044047 |
Real period |
R |
7.0068611394365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898516 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800bg1 96800cn1 8800ba1 |
Quadratic twists by: -4 5 -11 |