Atkin-Lehner |
2+ 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73040a |
Isogeny class |
Conductor |
73040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-1555459840 = -1 · 28 · 5 · 114 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11+ -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23,-1898] |
[a1,a2,a3,a4,a6] |
Generators |
[18634:135990:343] |
Generators of the group modulo torsion |
j |
-5256144/6076015 |
j-invariant |
L |
5.4552389432332 |
L(r)(E,1)/r! |
Ω |
0.67962048039046 |
Real period |
R |
8.0268901543371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36520c1 |
Quadratic twists by: -4 |