Atkin-Lehner |
2+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10400j |
Isogeny class |
Conductor |
10400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
520000000000 = 212 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 6 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8333,-287963] |
[a1,a2,a3,a4,a6] |
j |
1600000/13 |
j-invariant |
L |
0.99985650813991 |
L(r)(E,1)/r! |
Ω |
0.49992825406995 |
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 |
10400g1 20800ci1 93600ek1 10400z1 |
Quadratic twists by: -4 8 -3 5 |