Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350r |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9828225000000 = 26 · 32 · 58 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6901,160448] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:596:1] |
Generators of the group modulo torsion |
j |
2325676477249/629006400 |
j-invariant |
L |
5.0558407154994 |
L(r)(E,1)/r! |
Ω |
0.67759574708534 |
Real period |
R |
1.8653602598772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94050dg2 6270m2 |
Quadratic twists by: -3 5 |