Atkin-Lehner |
2+ 3+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794l |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
112016430844524 = 22 · 32 · 197 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-147656,-21894300] |
[a1,a2,a3,a4,a6] |
Generators |
[473:3554:1] |
Generators of the group modulo torsion |
j |
7567631909137/2381004 |
j-invariant |
L |
4.5094950769162 |
L(r)(E,1)/r! |
Ω |
0.24355362452628 |
Real period |
R |
2.3144261189824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000259685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6726i2 |
Quadratic twists by: -19 |