Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cz |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
1372825620230400 = 28 · 32 · 52 · 7 · 237 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-402051,-98140095] |
[a1,a2,a3,a4,a6] |
Generators |
[780:7545:1] |
Generators of the group modulo torsion |
j |
48551226272641/9273600 |
j-invariant |
L |
11.946137705412 |
L(r)(E,1)/r! |
Ω |
0.18959821320262 |
Real period |
R |
1.9689890305749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bh1 |
Quadratic twists by: -23 |