Atkin-Lehner |
3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
7755d |
Isogeny class |
Conductor |
7755 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-33490476421875 = -1 · 36 · 56 · 113 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11- -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3794,-261922] |
[a1,a2,a3,a4,a6] |
Generators |
[76:649:1] |
Generators of the group modulo torsion |
j |
6039605020633631/33490476421875 |
j-invariant |
L |
1.6368381752223 |
L(r)(E,1)/r! |
Ω |
0.3286878963605 |
Real period |
R |
0.82998603099717 |
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 |
124080bt2 23265r2 38775m2 85305e2 |
Quadratic twists by: -4 -3 5 -11 |