Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470fs |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
3040 |
Product of Tamagawa factors cp |
deg |
8171520 |
Modular degree for the optimal curve |
Δ |
1.2722007287808E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 13+ -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9268772,10727180871] |
[a1,a2,a3,a4,a6] |
Generators |
[1541:-10851:1] |
Generators of the group modulo torsion |
j |
714785992034201184721/10326220800000000 |
j-invariant |
L |
12.012061060017 |
L(r)(E,1)/r! |
Ω |
0.15346284089676 |
Real period |
R |
0.025747834723666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490f1 106470y1 |
Quadratic twists by: -3 13 |