Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730ba |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
141696 |
Modular degree for the optimal curve |
Δ |
384098982750 = 2 · 312 · 53 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2049,-19778] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:132:1] |
Generators of the group modulo torsion |
j |
19402102172761/7838754750 |
j-invariant |
L |
5.4337929853697 |
L(r)(E,1)/r! |
Ω |
0.73501926512692 |
Real period |
R |
0.61606015468348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730l1 |
Quadratic twists by: -7 |