Atkin-Lehner |
3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075bi |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-280475253544921875 = -1 · 312 · 510 · 11 · 173 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 11- -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-421050,-108202469] |
[a1,a2,a3,a4,a6] |
j |
-724731558068224/24623341875 |
j-invariant |
L |
1.1222781417437 |
L(r)(E,1)/r! |
Ω |
0.093523178469683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14025a1 8415p1 |
Quadratic twists by: -3 5 |