Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600bh |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
992000000000 = 214 · 59 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82833,-9203537] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:1:1] |
Generators of the group modulo torsion |
j |
1964215568/31 |
j-invariant |
L |
1.7483252039821 |
L(r)(E,1)/r! |
Ω |
0.28141593234364 |
Real period |
R |
3.1063010353018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49600cq2 3100f2 49600bg2 |
Quadratic twists by: -4 8 5 |