Atkin-Lehner |
2- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
404b |
Isogeny class |
Conductor |
404 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
68 |
Modular degree for the optimal curve |
Δ |
25856 = 28 · 101 |
Discriminant |
Eigenvalues |
2- -2 3 2 -6 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69,199] |
[a1,a2,a3,a4,a6] |
j |
143982592/101 |
j-invariant |
L |
1.2437628268126 |
L(r)(E,1)/r! |
Ω |
3.7312884804379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
1616d1 6464h1 3636c1 10100c1 |
Quadratic twists by: -4 8 -3 5 |