Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850dz |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
27440767406250 = 2 · 38 · 56 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14855,653397] |
[a1,a2,a3,a4,a6] |
Generators |
[-5890:863061:1000] |
Generators of the group modulo torsion |
j |
31824875809/2409066 |
j-invariant |
L |
10.873042262689 |
L(r)(E,1)/r! |
Ω |
0.6521052790301 |
Real period |
R |
8.3368764121351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950i1 4554g1 |
Quadratic twists by: -3 5 |