Atkin-Lehner |
3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
103335g |
Isogeny class |
Conductor |
103335 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
661248 |
Modular degree for the optimal curve |
Δ |
50880095605550625 = 3 · 54 · 837 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-93145,1355582] |
[a1,a2,a3,a4,a6] |
Generators |
[-2291007:466130669:328509] |
Generators of the group modulo torsion |
j |
273359449/155625 |
j-invariant |
L |
3.976452005923 |
L(r)(E,1)/r! |
Ω |
0.30559735926613 |
Real period |
R |
13.012062718752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001175 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1245a1 |
Quadratic twists by: -83 |