Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520k |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
46592 |
Modular degree for the optimal curve |
Δ |
-852480000000 = -1 · 215 · 32 · 57 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 1 -6 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3425,90177] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:120:1] [109:-1000:1] |
Generators of the group modulo torsion |
j |
-135638288072/26015625 |
j-invariant |
L |
7.7380476088347 |
L(r)(E,1)/r! |
Ω |
0.85394329854377 |
Real period |
R |
0.1618133450101 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520be1 17760x1 106560bd1 |
Quadratic twists by: -4 8 -3 |