Atkin-Lehner |
2- 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
105400x |
Isogeny class |
Conductor |
105400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
62720 |
Modular degree for the optimal curve |
Δ |
-88031134000 = -1 · 24 · 53 · 175 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- 1 -5 -5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10,-14275] |
[a1,a2,a3,a4,a6] |
Generators |
[25:40:1] [46:-289:1] |
Generators of the group modulo torsion |
j |
55296/44015567 |
j-invariant |
L |
10.954886373698 |
L(r)(E,1)/r! |
Ω |
0.49395968662419 |
Real period |
R |
1.1088846590658 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105400i1 |
Quadratic twists by: 5 |