Atkin-Lehner |
2- 3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320cs |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-18931200000 = -1 · 212 · 3 · 55 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 4 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57205,5247203] |
[a1,a2,a3,a4,a6] |
j |
-5054443262672896/4621875 |
j-invariant |
L |
5.1128103412939 |
L(r)(E,1)/r! |
Ω |
1.0225620269172 |
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 |
7395d1 |
Quadratic twists by: -4 |