Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600ef |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-30224159866880000 = -1 · 223 · 54 · 78 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 5 6 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140875,22003450] |
[a1,a2,a3,a4,a6] |
j |
-1026590625/100352 |
j-invariant |
L |
1.4512040419694 |
L(r)(E,1)/r! |
Ω |
0.36280101049234 |
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 |
2450bh1 78400li1 19600cz1 2800bg1 |
Quadratic twists by: -4 8 5 -7 |