Atkin-Lehner |
2- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400dg |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-48332800000000 = -1 · 221 · 58 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -3 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8833,-465537] |
[a1,a2,a3,a4,a6] |
Generators |
[110545:3269548:125] |
Generators of the group modulo torsion |
j |
-744385/472 |
j-invariant |
L |
4.4880728134033 |
L(r)(E,1)/r! |
Ω |
0.23937048143511 |
Real period |
R |
9.374741602543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400bl1 23600bh1 94400bx1 |
Quadratic twists by: -4 8 5 |