Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008df |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
720896 |
Modular degree for the optimal curve |
Δ |
76400186949632 = 216 · 74 · 134 · 17 |
Discriminant |
Eigenvalues |
2- -2 -4 7- -6 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56225,5095519] |
[a1,a2,a3,a4,a6] |
Generators |
[145:-112:1] [-182:3055:1] |
Generators of the group modulo torsion |
j |
299943806051236/1165774337 |
j-invariant |
L |
5.5782381308554 |
L(r)(E,1)/r! |
Ω |
0.61472975985038 |
Real period |
R |
0.56714333021734 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008o1 24752k1 |
Quadratic twists by: -4 8 |