Atkin-Lehner |
5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10925b |
Isogeny class |
Conductor |
10925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5600 |
Modular degree for the optimal curve |
Δ |
-157046875 = -1 · 56 · 19 · 232 |
Discriminant |
Eigenvalues |
-2 -2 5+ 3 5 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8,-606] |
[a1,a2,a3,a4,a6] |
Generators |
[9:11:1] |
Generators of the group modulo torsion |
j |
-4096/10051 |
j-invariant |
L |
1.9316203466511 |
L(r)(E,1)/r! |
Ω |
0.82557418256546 |
Real period |
R |
1.1698647967943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325bj1 437b1 |
Quadratic twists by: -3 5 |