Atkin-Lehner |
3- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
35475g |
Isogeny class |
Conductor |
35475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16512 |
Modular degree for the optimal curve |
Δ |
-10536075 = -1 · 34 · 52 · 112 · 43 |
Discriminant |
Eigenvalues |
-2 3- 5+ -4 11+ 2 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-188,944] |
[a1,a2,a3,a4,a6] |
Generators |
[4:16:1] |
Generators of the group modulo torsion |
j |
-29550530560/421443 |
j-invariant |
L |
3.2395864732172 |
L(r)(E,1)/r! |
Ω |
2.2888230493603 |
Real period |
R |
0.17692425339104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106425s1 35475c1 |
Quadratic twists by: -3 5 |