Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850dg |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
3179967120000000 = 210 · 33 · 57 · 112 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-86255,-9343753] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:598:1] |
Generators of the group modulo torsion |
j |
168224032850427/7537699840 |
j-invariant |
L |
12.337687538439 |
L(r)(E,1)/r! |
Ω |
0.27935475058957 |
Real period |
R |
0.73608243635064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113850g1 22770a1 |
Quadratic twists by: -3 5 |