Atkin-Lehner |
2- 5+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30940c |
Isogeny class |
Conductor |
30940 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
-185717350000 = -1 · 24 · 55 · 75 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -3 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1014,-16939] |
[a1,a2,a3,a4,a6] |
j |
7199282667776/11607334375 |
j-invariant |
L |
2.6636381411483 |
L(r)(E,1)/r! |
Ω |
0.53272762822981 |
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 |
123760u1 |
Quadratic twists by: -4 |