Atkin-Lehner |
3+ 5- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
25365f |
Isogeny class |
Conductor |
25365 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-366985972265625 = -1 · 34 · 58 · 194 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-41830,-3436900] |
[a1,a2,a3,a4,a6] |
Generators |
[518:10428:1] |
Generators of the group modulo torsion |
j |
-8094461369760724321/366985972265625 |
j-invariant |
L |
3.1178381273983 |
L(r)(E,1)/r! |
Ω |
0.16647485741856 |
Real period |
R |
2.3410728320668 |
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 |
76095c3 126825n3 |
Quadratic twists by: -3 5 |