Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568q |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
135321382565568 = 26 · 33 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14988,-435798] |
[a1,a2,a3,a4,a6] |
Generators |
[293:4518:1] |
Generators of the group modulo torsion |
j |
39304000/14283 |
j-invariant |
L |
7.8435451441953 |
L(r)(E,1)/r! |
Ω |
0.44457714237943 |
Real period |
R |
5.8809029927118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568d1 50784d2 4416j1 |
Quadratic twists by: -4 8 -23 |