Atkin-Lehner |
5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2035c |
Isogeny class |
Conductor |
2035 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
235296875 = 56 · 11 · 372 |
Discriminant |
Eigenvalues |
-1 -2 5- -4 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-155,-98] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:23:1] [-6:28:1] |
Generators of the group modulo torsion |
j |
411996867121/235296875 |
j-invariant |
L |
1.8443540795037 |
L(r)(E,1)/r! |
Ω |
1.4649962975936 |
Real period |
R |
0.41964931527639 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32560s2 18315l2 10175e2 99715b2 |
Quadratic twists by: -4 -3 5 -7 |