Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440ea |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-2929794703360000 = -1 · 216 · 54 · 74 · 313 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26655,2002975] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:1085:1] |
Generators of the group modulo torsion |
j |
31956819437084/44705119375 |
j-invariant |
L |
5.3109478998683 |
L(r)(E,1)/r! |
Ω |
0.30525213259579 |
Real period |
R |
0.36247002429628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995875 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440bf1 17360h1 |
Quadratic twists by: -4 8 |