Atkin-Lehner |
2+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
206a |
Isogeny class |
Conductor |
206 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15 |
Modular degree for the optimal curve |
Δ |
-412 = -1 · 22 · 103 |
Discriminant |
Eigenvalues |
2+ 2 4 0 -6 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2,0] |
[a1,a2,a3,a4,a6] |
j |
357911/412 |
j-invariant |
L |
1.4310577333197 |
L(r)(E,1)/r! |
Ω |
2.8621154666394 |
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 |
1648a1 6592a1 1854j1 5150l1 |
Quadratic twists by: -4 8 -3 5 |