Atkin-Lehner |
5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2035c |
Isogeny class |
Conductor |
2035 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
559625 = 53 · 112 · 37 |
Discriminant |
Eigenvalues |
-1 -2 5- -4 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-100,375] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:25:1] [-5:30:1] |
Generators of the group modulo torsion |
j |
110661134401/559625 |
j-invariant |
L |
1.8443540795037 |
L(r)(E,1)/r! |
Ω |
2.9299925951872 |
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 |
32560s1 18315l1 10175e1 99715b1 |
Quadratic twists by: -4 -3 5 -7 |