Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
95370dp |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
264384 |
Modular degree for the optimal curve |
Δ |
-24011953416000 = -1 · 26 · 33 · 53 · 113 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6930,79812] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:198:1] |
Generators of the group modulo torsion |
j |
440680479839/287496000 |
j-invariant |
L |
15.828602306886 |
L(r)(E,1)/r! |
Ω |
0.42136458093389 |
Real period |
R |
2.0869499577432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005146 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
95370cg1 |
Quadratic twists by: 17 |