Atkin-Lehner |
3+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35547a |
Isogeny class |
Conductor |
35547 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1364352 |
Modular degree for the optimal curve |
Δ |
-861306948870376419 = -1 · 311 · 179 · 41 |
Discriminant |
Eigenvalues |
1 3+ -1 -1 -2 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-62443513,189897664636] |
[a1,a2,a3,a4,a6] |
Generators |
[3215150632:-1717262954:704969] |
Generators of the group modulo torsion |
j |
-227062499652459017/7263027 |
j-invariant |
L |
3.997932040915 |
L(r)(E,1)/r! |
Ω |
0.20656043199654 |
Real period |
R |
9.6773907816526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106641g1 35547g1 |
Quadratic twists by: -3 17 |