Atkin-Lehner |
2- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400u |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
16145888492800 = 28 · 52 · 11 · 475 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 11+ -5 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9468,294128] |
[a1,a2,a3,a4,a6] |
j |
14667778899280/2522795077 |
j-invariant |
L |
2.6569483317886 |
L(r)(E,1)/r! |
Ω |
0.66423713756419 |
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 |
103400m1 |
Quadratic twists by: 5 |