Atkin-Lehner |
2- 3- 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
95004d |
Isogeny class |
Conductor |
95004 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-10342515456 = -1 · 28 · 37 · 72 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,-5164] |
[a1,a2,a3,a4,a6] |
Generators |
[37:189:1] |
Generators of the group modulo torsion |
j |
-10903552/55419 |
j-invariant |
L |
3.910232662399 |
L(r)(E,1)/r! |
Ω |
0.53420272579832 |
Real period |
R |
1.8299385496424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31668a1 |
Quadratic twists by: -3 |