Atkin-Lehner |
2- 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120cj |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
377428533350400 = 212 · 32 · 52 · 76 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34496,2270580] |
[a1,a2,a3,a4,a6] |
Generators |
[76:306:1] |
Generators of the group modulo torsion |
j |
1108364408319169/92145638025 |
j-invariant |
L |
7.4934092133381 |
L(r)(E,1)/r! |
Ω |
0.5229140665744 |
Real period |
R |
3.5825242065182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010158 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6195b2 |
Quadratic twists by: -4 |