Atkin-Lehner |
2- 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244j |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
-18561643877129472 = -1 · 28 · 311 · 78 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -6 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29841,-6247402] |
[a1,a2,a3,a4,a6] |
j |
2731568/17253 |
j-invariant |
L |
3.4812260493168 |
L(r)(E,1)/r! |
Ω |
0.19340143093888 |
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 |
41748a1 125244z1 |
Quadratic twists by: -3 -7 |