Atkin-Lehner |
3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103635l |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
-1784866741875 = -1 · 311 · 54 · 73 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -5 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11928,-505521] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1012:1] |
Generators of the group modulo torsion |
j |
-750593769472/7138125 |
j-invariant |
L |
4.6609203798038 |
L(r)(E,1)/r! |
Ω |
0.2282870742248 |
Real period |
R |
1.2760579076326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999129053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34545w1 103635bl1 |
Quadratic twists by: -3 -7 |