Atkin-Lehner |
5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89425f |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-342864113046875 = -1 · 57 · 77 · 732 |
Discriminant |
Eigenvalues |
0 -3 5+ 7- -5 -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2450,889656] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:612:1] [126:1788:1] |
Generators of the group modulo torsion |
j |
884736/186515 |
j-invariant |
L |
4.7967849917738 |
L(r)(E,1)/r! |
Ω |
0.41721024993755 |
Real period |
R |
0.71858028898797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000567 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17885o1 12775f1 |
Quadratic twists by: 5 -7 |