Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760x |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18070886400 = 211 · 3 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156816,-23954316] |
[a1,a2,a3,a4,a6] |
Generators |
[1535:57918:1] |
Generators of the group modulo torsion |
j |
1770025017602/75 |
j-invariant |
L |
5.3062832109843 |
L(r)(E,1)/r! |
Ω |
0.23991186787932 |
Real period |
R |
5.5294088386381 |
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 |
5880u5 47040fm6 35280cr6 58800bd6 |
Quadratic twists by: -4 8 -3 5 |