Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
37620a |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.1230786419188E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1481112,-5051320812] |
[a1,a2,a3,a4,a6] |
Generators |
[21133959:2669203125:1331] |
Generators of the group modulo torsion |
j |
71310939172134912/2228840087890625 |
j-invariant |
L |
4.5018288463186 |
L(r)(E,1)/r! |
Ω |
0.061559014756277 |
Real period |
R |
6.0941911650979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37620b1 |
Quadratic twists by: -3 |