Atkin-Lehner |
5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15925d |
Isogeny class |
Conductor |
15925 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-2354049833078125 = -1 · 56 · 74 · 137 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ -3 13- -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15695,-2212178] |
[a1,a2,a3,a4,a6] |
Generators |
[100:541:1] [139:1555:1] |
Generators of the group modulo torsion |
j |
11397810375/62748517 |
j-invariant |
L |
4.4387275922678 |
L(r)(E,1)/r! |
Ω |
0.23065959025282 |
Real period |
R |
0.45818164411146 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
637a2 15925h2 |
Quadratic twists by: 5 -7 |