Atkin-Lehner |
2+ 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410d |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
40286029414400 = 216 · 52 · 76 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9515,187781] |
[a1,a2,a3,a4,a6] |
j |
809818183161/342425600 |
j-invariant |
L |
1.1662533470435 |
L(r)(E,1)/r! |
Ω |
0.58312665562152 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2090h1 |
Quadratic twists by: -7 |