Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99636a |
Isogeny class |
Conductor |
99636 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
615600 |
Modular degree for the optimal curve |
Δ |
-34930977251702832 = -1 · 24 · 35 · 198 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 2 -3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91453,13965178] |
[a1,a2,a3,a4,a6] |
Generators |
[-5406:132848:27] |
Generators of the group modulo torsion |
j |
-311296000/128547 |
j-invariant |
L |
5.8785819374234 |
L(r)(E,1)/r! |
Ω |
0.34434830525228 |
Real period |
R |
2.8452692906233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999798395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99636d1 |
Quadratic twists by: -19 |