Atkin-Lehner |
2+ 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
101866g |
Isogeny class |
Conductor |
101866 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59280 |
Modular degree for the optimal curve |
Δ |
-203732 = -1 · 22 · 312 · 53 |
Discriminant |
Eigenvalues |
2+ -3 4 4 0 -7 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25,-47] |
[a1,a2,a3,a4,a6] |
j |
-1838889/212 |
j-invariant |
L |
2.11737147848 |
L(r)(E,1)/r! |
Ω |
1.0586858388195 |
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 |
101866b1 |
Quadratic twists by: -31 |