Atkin-Lehner |
3- 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
35685k |
Isogeny class |
Conductor |
35685 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-539178905848635 = -1 · 321 · 5 · 132 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- 5 0 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1863372,979033932] |
[a1,a2,a3,a4,a6] |
j |
-981510341015120379904/739614411315 |
j-invariant |
L |
3.4560727670968 |
L(r)(E,1)/r! |
Ω |
0.43200909588695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11895g1 |
Quadratic twists by: -3 |