Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090dc |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
675 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-85014404193600000 = -1 · 29 · 315 · 55 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,84560,10361600] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:2060:1] |
Generators of the group modulo torsion |
j |
126404531110923791/160707758400000 |
j-invariant |
L |
14.471239074486 |
L(r)(E,1)/r! |
Ω |
0.2290250774981 |
Real period |
R |
0.093609280095265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090cs1 |
Quadratic twists by: -23 |