Atkin-Lehner |
2- 3+ 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970be |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1715200 |
Modular degree for the optimal curve |
Δ |
1076803200000 = 210 · 33 · 55 · 112 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2434148,1462343047] |
[a1,a2,a3,a4,a6] |
j |
59074590815239198254147/39881600000 |
j-invariant |
L |
5.3909044298944 |
L(r)(E,1)/r! |
Ω |
0.53909044881398 |
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 |
101970h1 |
Quadratic twists by: -3 |