Atkin-Lehner |
2- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27376c |
Isogeny class |
Conductor |
27376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-416234340352 = -1 · 223 · 292 · 59 |
Discriminant |
Eigenvalues |
2- 0 0 -1 -3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2795,64794] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:290:1] [53:256:1] |
Generators of the group modulo torsion |
j |
-589534466625/101619712 |
j-invariant |
L |
7.5521888522657 |
L(r)(E,1)/r! |
Ω |
0.90917377184661 |
Real period |
R |
1.0383313242923 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3422f1 109504u1 |
Quadratic twists by: -4 8 |