Atkin-Lehner |
2+ 3- 7- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818s |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4043520 |
Modular degree for the optimal curve |
Δ |
-3564614832663822336 = -1 · 218 · 36 · 7 · 23 · 415 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 4 1 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-989721,-389467859] |
[a1,a2,a3,a4,a6] |
j |
-147073621479228951697/4889732280745984 |
j-invariant |
L |
1.5106804482946 |
L(r)(E,1)/r! |
Ω |
0.075534034688241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13202k1 |
Quadratic twists by: -3 |