Atkin-Lehner |
3- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715bc |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2156544 |
Modular degree for the optimal curve |
Δ |
620130222293061105 = 36 · 5 · 178 · 293 |
Discriminant |
Eigenvalues |
1 3- 5- -4 -2 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-778428,261553501] |
[a1,a2,a3,a4,a6] |
Generators |
[407:3288:1] |
Generators of the group modulo torsion |
j |
2161149093764569/25691494545 |
j-invariant |
L |
8.0035029258668 |
L(r)(E,1)/r! |
Ω |
0.29006712579065 |
Real period |
R |
4.5986498907272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999849347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7395c1 |
Quadratic twists by: 17 |