Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768d |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-908781793837056 = -1 · 230 · 39 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 -3 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120204,-16106256] |
[a1,a2,a3,a4,a6] |
Generators |
[11742:1271808:1] |
Generators of the group modulo torsion |
j |
-37226247219/176128 |
j-invariant |
L |
3.6716917295657 |
L(r)(E,1)/r! |
Ω |
0.12816425293174 |
Real period |
R |
3.5810411694138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24768bv2 774a2 24768c1 |
Quadratic twists by: -4 8 -3 |