Atkin-Lehner |
3- 5- 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
35535c |
Isogeny class |
Conductor |
35535 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
130176 |
Modular degree for the optimal curve |
Δ |
-61623295610715 = -1 · 32 · 5 · 233 · 1034 |
Discriminant |
Eigenvalues |
0 3- 5- 3 0 4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-64555,-6345959] |
[a1,a2,a3,a4,a6] |
Generators |
[4182472523:-102627837377:5929741] |
Generators of the group modulo torsion |
j |
-29752269276497084416/61623295610715 |
j-invariant |
L |
7.1640937212334 |
L(r)(E,1)/r! |
Ω |
0.14973820637076 |
Real period |
R |
11.961031681345 |
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 |
106605d1 |
Quadratic twists by: -3 |