Atkin-Lehner |
2+ 3+ 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950a |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-371718750 = -1 · 2 · 3 · 57 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 3 13+ 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-275,1875] |
[a1,a2,a3,a4,a6] |
Generators |
[15:30:1] |
Generators of the group modulo torsion |
j |
-148035889/23790 |
j-invariant |
L |
5.4725052154587 |
L(r)(E,1)/r! |
Ω |
1.6351421057821 |
Real period |
R |
0.83670178430975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999002782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23790r1 |
Quadratic twists by: 5 |