Atkin-Lehner |
3+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bi |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3034906875 = 32 · 54 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11- 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-365,272] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:46:1] [-13:61:1] |
Generators of the group modulo torsion |
j |
15681317527/8848125 |
j-invariant |
L |
6.7668367760082 |
L(r)(E,1)/r! |
Ω |
1.2271044666129 |
Real period |
R |
0.68930936216971 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105105cd2 |
Quadratic twists by: -7 |