Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760q |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4481684638341120 = 211 · 312 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85080,9020880] |
[a1,a2,a3,a4,a6] |
Generators |
[6762:555498:1] |
Generators of the group modulo torsion |
j |
282678688658/18600435 |
j-invariant |
L |
4.1384203015322 |
L(r)(E,1)/r! |
Ω |
0.42787419597138 |
Real period |
R |
4.8360246311851 |
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 |
5880p3 47040gf4 35280bo4 58800dn4 |
Quadratic twists by: -4 8 -3 5 |