Atkin-Lehner |
5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34225c |
Isogeny class |
Conductor |
34225 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-21390625 = -1 · 56 · 372 |
Discriminant |
Eigenvalues |
1 0 5+ -2 -2 -2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41567,-3251534] |
[a1,a2,a3,a4,a6] |
Generators |
[14460035256730470:-1608856306354788667:1178252824328] |
Generators of the group modulo torsion |
j |
-371323264041 |
j-invariant |
L |
4.6734361136682 |
L(r)(E,1)/r! |
Ω |
0.16717906763698 |
Real period |
R |
27.954672673593 |
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 |
1369c2 34225e2 |
Quadratic twists by: 5 37 |