Atkin-Lehner |
2+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42550i |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
579840 |
Modular degree for the optimal curve |
Δ |
82832936000 = 26 · 53 · 234 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1078540,-431574000] |
[a1,a2,a3,a4,a6] |
Generators |
[-13573393444780091778:6785529031090706811:22621486522247432] |
Generators of the group modulo torsion |
j |
1110000304092330500669/662663488 |
j-invariant |
L |
7.0559265070045 |
L(r)(E,1)/r! |
Ω |
0.1481461733862 |
Real period |
R |
23.814069394189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42550x1 |
Quadratic twists by: 5 |