Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488h |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-12175259712 = -1 · 26 · 3 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- -6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9032,-327438] |
[a1,a2,a3,a4,a6] |
j |
-220881472/33 |
j-invariant |
L |
2.2037289856586 |
L(r)(E,1)/r! |
Ω |
0.24485877767208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488cj1 51744ba1 103488ed1 |
Quadratic twists by: -4 8 -7 |