Atkin-Lehner |
2+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
5264d |
Isogeny class |
Conductor |
5264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
336896 = 210 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 6 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112,420] |
[a1,a2,a3,a4,a6] |
Generators |
[8:10:1] |
Generators of the group modulo torsion |
j |
153091012/329 |
j-invariant |
L |
3.264457517637 |
L(r)(E,1)/r! |
Ω |
3.0459444682813 |
Real period |
R |
1.0717390128517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2632a1 21056bd1 47376q1 36848d1 |
Quadratic twists by: -4 8 -3 -7 |