Atkin-Lehner |
2+ 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552bd |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-120926562726445056 = -1 · 219 · 314 · 7 · 832 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-237249,47442591] |
[a1,a2,a3,a4,a6] |
Generators |
[-325:9504:1] [-69:7968:1] |
Generators of the group modulo torsion |
j |
-5633765843195953/461298228174 |
j-invariant |
L |
12.194414260233 |
L(r)(E,1)/r! |
Ω |
0.32445585098512 |
Real period |
R |
1.3422929303158 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000721 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552cs2 3486h2 |
Quadratic twists by: -4 8 |