Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112710dc |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
3231360 |
Modular degree for the optimal curve |
Δ |
-826365665854462500 = -1 · 22 · 36 · 55 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -3 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2949540,1949997492] |
[a1,a2,a3,a4,a6] |
Generators |
[24:43338:1] |
Generators of the group modulo torsion |
j |
-406813373046721/118462500 |
j-invariant |
L |
13.019327824556 |
L(r)(E,1)/r! |
Ω |
0.27592761821714 |
Real period |
R |
0.26213250941057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710br1 |
Quadratic twists by: 17 |