Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656bx |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
105636703918032 = 24 · 32 · 712 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13393,-329300] |
[a1,a2,a3,a4,a6] |
Generators |
[2700:140140:1] |
Generators of the group modulo torsion |
j |
141150208000/56118573 |
j-invariant |
L |
5.4903508090353 |
L(r)(E,1)/r! |
Ω |
0.45925557539855 |
Real period |
R |
5.9774460043396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31164k1 17808v1 |
Quadratic twists by: -4 -7 |