Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800el |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-9694085120000 = -1 · 223 · 54 · 432 |
Discriminant |
Eigenvalues |
2- -3 5- 0 3 0 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5300,19600] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-640:1] [5:215:1] |
Generators of the group modulo torsion |
j |
100491975/59168 |
j-invariant |
L |
6.6683421094128 |
L(r)(E,1)/r! |
Ω |
0.44159684132535 |
Real period |
R |
0.62918834985605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800ca1 17200bb1 68800dd1 |
Quadratic twists by: -4 8 5 |