Atkin-Lehner |
2- 7- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
25004a |
Isogeny class |
Conductor |
25004 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
4036006357712 = 24 · 710 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 7- -2 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5900,-145203] |
[a1,a2,a3,a4,a6] |
j |
1419579648000000/252250397357 |
j-invariant |
L |
1.3784419632668 |
L(r)(E,1)/r! |
Ω |
0.5513767853067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100016k1 |
Quadratic twists by: -4 |