Atkin-Lehner |
3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36075g |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
8685418465546875 = 33 · 57 · 133 · 374 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39546713,-95738904844] |
[a1,a2,a3,a4,a6] |
Generators |
[244750:41700571:8] |
Generators of the group modulo torsion |
j |
437758777793580346509769/555866781795 |
j-invariant |
L |
1.7687849174244 |
L(r)(E,1)/r! |
Ω |
0.060203530000925 |
Real period |
R |
4.8966810788796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108225bc4 7215f3 |
Quadratic twists by: -3 5 |