Atkin-Lehner |
2- 3- 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
129648w |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
50425811712 = 28 · 33 · 372 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1044,-7560] |
[a1,a2,a3,a4,a6] |
Generators |
[183:2442:1] |
Generators of the group modulo torsion |
j |
492040858192/196975827 |
j-invariant |
L |
7.2045251505318 |
L(r)(E,1)/r! |
Ω |
0.8694180482052 |
Real period |
R |
2.7622021163158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32412a2 |
Quadratic twists by: -4 |