Atkin-Lehner |
2- 3- 5- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970cf |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-422889984000000 = -1 · 215 · 36 · 56 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1595642,776202041] |
[a1,a2,a3,a4,a6] |
Generators |
[729:-401:1] |
Generators of the group modulo torsion |
j |
-616314387368923834969/580096000000 |
j-invariant |
L |
10.288699947351 |
L(r)(E,1)/r! |
Ω |
0.44433589911417 |
Real period |
R |
1.1577614984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019754 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11330f2 |
Quadratic twists by: -3 |