Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bn |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
709800 = 23 · 3 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 13+ -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-108,418] |
[a1,a2,a3,a4,a6] |
Generators |
[4:5:1] |
Generators of the group modulo torsion |
j |
813420049/4200 |
j-invariant |
L |
5.0848775364788 |
L(r)(E,1)/r! |
Ω |
2.8725949055393 |
Real period |
R |
0.88506693489431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470ec1 35490dd1 |
Quadratic twists by: -3 13 |