Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568v |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-30081626947584 = -1 · 214 · 38 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 0 -1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7759,-18417] |
[a1,a2,a3,a4,a6] |
Generators |
[61:828:1] |
Generators of the group modulo torsion |
j |
11265584/6561 |
j-invariant |
L |
7.5830782263739 |
L(r)(E,1)/r! |
Ω |
0.39077673081948 |
Real period |
R |
0.40427380530732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568cd1 6348a1 101568s1 |
Quadratic twists by: -4 8 -23 |