Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488m |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-14789559306525696 = -1 · 210 · 313 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11+ -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92185,12290209] |
[a1,a2,a3,a4,a6] |
j |
-719152519936/122762871 |
j-invariant |
L |
1.519157202647 |
L(r)(E,1)/r! |
Ω |
0.37978936876487 |
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 |
103488ig1 6468q1 14784bc1 |
Quadratic twists by: -4 8 -7 |