Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650eg |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2.48477564584E+33 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-140744773355,20181440032469147] |
[a1,a2,a3,a4,a6] |
Generators |
[40198556797:32346634879800:50653] |
Generators of the group modulo torsion |
j |
27069048228791329225488740612449/218142169182110852122500000 |
j-invariant |
L |
10.267287812936 |
L(r)(E,1)/r! |
Ω |
0.014549610578502 |
Real period |
R |
17.641860160162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004389 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550z2 19530y2 |
Quadratic twists by: -3 5 |