Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950b |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-55803273680000000 = -1 · 210 · 57 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 11+ 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,-11365602] |
[a1,a2,a3,a4,a6] |
Generators |
[447:-9024:1] |
Generators of the group modulo torsion |
j |
-2401/619520 |
j-invariant |
L |
4.8055094383868 |
L(r)(E,1)/r! |
Ω |
0.16155896298394 |
Real period |
R |
1.8590385476108 |
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 |
5390bd1 26950l1 |
Quadratic twists by: 5 -7 |