Atkin-Lehner |
2- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100510h |
Isogeny class |
Conductor |
100510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-295901440 = -1 · 28 · 5 · 19 · 233 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 1 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-241,1641] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-45:1] |
Generators of the group modulo torsion |
j |
-127263527/24320 |
j-invariant |
L |
7.727202399472 |
L(r)(E,1)/r! |
Ω |
1.6587008686817 |
Real period |
R |
0.29116169158287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100510p1 |
Quadratic twists by: -23 |