Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
99636d |
Isogeny class |
Conductor |
99636 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
-742487472 = -1 · 24 · 35 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 3 2 3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-253,-2116] |
[a1,a2,a3,a4,a6] |
Generators |
[23:69:1] |
Generators of the group modulo torsion |
j |
-311296000/128547 |
j-invariant |
L |
10.39498203563 |
L(r)(E,1)/r! |
Ω |
0.58645799417915 |
Real period |
R |
0.59083413432226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965502 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99636a1 |
Quadratic twists by: -19 |