Atkin-Lehner |
2+ 3- 5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950w |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
6423300000000 = 28 · 34 · 58 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9126,-313352] |
[a1,a2,a3,a4,a6] |
Generators |
[-394:1243:8] |
Generators of the group modulo torsion |
j |
5378691911761/411091200 |
j-invariant |
L |
7.6393483711612 |
L(r)(E,1)/r! |
Ω |
0.49082959860568 |
Real period |
R |
3.8910389860301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999430219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790m1 |
Quadratic twists by: 5 |