Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344bj |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-115046604603392 = -1 · 229 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 11+ 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1983,-514273] |
[a1,a2,a3,a4,a6] |
Generators |
[124328555513:8742095089804:25153757] |
Generators of the group modulo torsion |
j |
3288008303/438867968 |
j-invariant |
L |
10.733001089165 |
L(r)(E,1)/r! |
Ω |
0.27975774533033 |
Real period |
R |
19.182670128564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344dd1 3542s1 |
Quadratic twists by: -4 8 |