Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578o |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1433600 |
Modular degree for the optimal curve |
Δ |
-1.4959545123173E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2842677,-245100731] |
[a1,a2,a3,a4,a6] |
Generators |
[12929737:909576142:24389] |
Generators of the group modulo torsion |
j |
86356749052601/50852054016 |
j-invariant |
L |
3.648211279785 |
L(r)(E,1)/r! |
Ω |
0.088630362508033 |
Real period |
R |
10.290523406847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526p1 25578j1 |
Quadratic twists by: -3 -7 |