Atkin-Lehner |
5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
35695d |
Isogeny class |
Conductor |
35695 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
-1879346211875 = -1 · 54 · 114 · 593 |
Discriminant |
Eigenvalues |
0 1 5+ -1 11- -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2259,-50660] |
[a1,a2,a3,a4,a6] |
Generators |
[2928:32849:27] |
Generators of the group modulo torsion |
j |
87038099456/128361875 |
j-invariant |
L |
3.4572378768259 |
L(r)(E,1)/r! |
Ω |
0.44149137768931 |
Real period |
R |
3.9154081501201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
35695c1 |
Quadratic twists by: -11 |