Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37620f |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6688282233600 = 28 · 36 · 52 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5943,124958] |
[a1,a2,a3,a4,a6] |
Generators |
[94:630:1] |
Generators of the group modulo torsion |
j |
124386546256/35838275 |
j-invariant |
L |
3.9060985305675 |
L(r)(E,1)/r! |
Ω |
0.69711496112784 |
Real period |
R |
2.8016171997282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4180c2 |
Quadratic twists by: -3 |